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Finding the Third Proportional to 39,744 and 58,284

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Solution

The third proportional to 39,744 and 58,284 is: 85,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 58,284 = 58,284 : x
  2. Step 2: Convert to fraction form
    39,744/58,284 = 58,284/x
  3. Step 3: Cross multiply
    39,744x = 58,284 × 58,284
  4. Step 4: Simplify right side
    39,744x = 3,397,024,656
  5. Step 5: Solve for x
    x = 3,397,024,656/39,744
  6. Step 6: Final answer
    x = 85,472.64

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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.