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Finding the Third Proportional to 39,468 and 59,608

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Solution

The third proportional to 39,468 and 59,608 is: 90,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468 : 59,608 = 59,608 : x
  2. Step 2: Convert to fraction form
    39,468/59,608 = 59,608/x
  3. Step 3: Cross multiply
    39,468x = 59,608 × 59,608
  4. Step 4: Simplify right side
    39,468x = 3,553,113,664
  5. Step 5: Solve for x
    x = 3,553,113,664/39,468
  6. Step 6: Final answer
    x = 90,025.18

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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.