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Finding the Third Proportional to 29,980.13 and 44,727.19

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Solution

The third proportional to 29,980.13 and 44,727.19 is: 66,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.13 : 44,727.19 = 44,727.19 : x
  2. Step 2: Convert to fraction form
    29,980.13/44,727.19 = 44,727.19/x
  3. Step 3: Cross multiply
    29,980.13x = 44,727.19 × 44,727.19
  4. Step 4: Simplify right side
    29,980.13x = 2,000,521,301.66
  5. Step 5: Solve for x
    x = 2,000,521,301.66/29,980.13
  6. Step 6: Final answer
    x = 66,728.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.