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Finding the Third Proportional to 39,382 and 57,774

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Solution

The third proportional to 39,382 and 57,774 is: 84,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382 : 57,774 = 57,774 : x
  2. Step 2: Convert to fraction form
    39,382/57,774 = 57,774/x
  3. Step 3: Cross multiply
    39,382x = 57,774 × 57,774
  4. Step 4: Simplify right side
    39,382x = 3,337,835,076
  5. Step 5: Solve for x
    x = 3,337,835,076/39,382
  6. Step 6: Final answer
    x = 84,755.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.