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Finding the Third Proportional to 39,126 and 58,875

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Solution

The third proportional to 39,126 and 58,875 is: 88,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,126 : 58,875 = 58,875 : x
  2. Step 2: Convert to fraction form
    39,126/58,875 = 58,875/x
  3. Step 3: Cross multiply
    39,126x = 58,875 × 58,875
  4. Step 4: Simplify right side
    39,126x = 3,466,265,625
  5. Step 5: Solve for x
    x = 3,466,265,625/39,126
  6. Step 6: Final answer
    x = 88,592.38

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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.