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Finding the Third Proportional to 29,432 and 44,213

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Solution

The third proportional to 29,432 and 44,213 is: 66,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,432 : 44,213 = 44,213 : x
  2. Step 2: Convert to fraction form
    29,432/44,213 = 44,213/x
  3. Step 3: Cross multiply
    29,432x = 44,213 × 44,213
  4. Step 4: Simplify right side
    29,432x = 1,954,789,369
  5. Step 5: Solve for x
    x = 1,954,789,369/29,432
  6. Step 6: Final answer
    x = 66,417.14

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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.