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Finding the Third Proportional to 13,132.13 and 29,180.25

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Solution

The third proportional to 13,132.13 and 29,180.25 is: 64,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.13 : 29,180.25 = 29,180.25 : x
  2. Step 2: Convert to fraction form
    13,132.13/29,180.25 = 29,180.25/x
  3. Step 3: Cross multiply
    13,132.13x = 29,180.25 × 29,180.25
  4. Step 4: Simplify right side
    13,132.13x = 851,486,990.06
  5. Step 5: Solve for x
    x = 851,486,990.06/13,132.13
  6. Step 6: Final answer
    x = 64,840.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.