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Finding the Third Proportional to 29,382 and 44,457

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Solution

The third proportional to 29,382 and 44,457 is: 67,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382 : 44,457 = 44,457 : x
  2. Step 2: Convert to fraction form
    29,382/44,457 = 44,457/x
  3. Step 3: Cross multiply
    29,382x = 44,457 × 44,457
  4. Step 4: Simplify right side
    29,382x = 1,976,424,849
  5. Step 5: Solve for x
    x = 1,976,424,849/29,382
  6. Step 6: Final answer
    x = 67,266.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.