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Finding the Third Proportional to 39,752 and 59,628

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Solution

The third proportional to 39,752 and 59,628 is: 89,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 59,628 = 59,628 : x
  2. Step 2: Convert to fraction form
    39,752/59,628 = 59,628/x
  3. Step 3: Cross multiply
    39,752x = 59,628 × 59,628
  4. Step 4: Simplify right side
    39,752x = 3,555,498,384
  5. Step 5: Solve for x
    x = 3,555,498,384/39,752
  6. Step 6: Final answer
    x = 89,442

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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.