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Finding the Third Proportional to 29,574 and 44,496

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Solution

The third proportional to 29,574 and 44,496 is: 66,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574 : 44,496 = 44,496 : x
  2. Step 2: Convert to fraction form
    29,574/44,496 = 44,496/x
  3. Step 3: Cross multiply
    29,574x = 44,496 × 44,496
  4. Step 4: Simplify right side
    29,574x = 1,979,894,016
  5. Step 5: Solve for x
    x = 1,979,894,016/29,574
  6. Step 6: Final answer
    x = 66,947.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.