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Finding the Third Proportional to 39,724 and 58,370

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Solution

The third proportional to 39,724 and 58,370 is: 85,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,724 : 58,370 = 58,370 : x
  2. Step 2: Convert to fraction form
    39,724/58,370 = 58,370/x
  3. Step 3: Cross multiply
    39,724x = 58,370 × 58,370
  4. Step 4: Simplify right side
    39,724x = 3,407,056,900
  5. Step 5: Solve for x
    x = 3,407,056,900/39,724
  6. Step 6: Final answer
    x = 85,768.22

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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.