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Finding the Third Proportional to 29,448 and 44,786.25

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Solution

The third proportional to 29,448 and 44,786.25 is: 68,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,448 : 44,786.25 = 44,786.25 : x
  2. Step 2: Convert to fraction form
    29,448/44,786.25 = 44,786.25/x
  3. Step 3: Cross multiply
    29,448x = 44,786.25 × 44,786.25
  4. Step 4: Simplify right side
    29,448x = 2,005,808,189.06
  5. Step 5: Solve for x
    x = 2,005,808,189.06/29,448
  6. Step 6: Final answer
    x = 68,113.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.