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Finding the Third Proportional to 39,269 and 59,475

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Solution

The third proportional to 39,269 and 59,475 is: 90,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,269 : 59,475 = 59,475 : x
  2. Step 2: Convert to fraction form
    39,269/59,475 = 59,475/x
  3. Step 3: Cross multiply
    39,269x = 59,475 × 59,475
  4. Step 4: Simplify right side
    39,269x = 3,537,275,625
  5. Step 5: Solve for x
    x = 3,537,275,625/39,269
  6. Step 6: Final answer
    x = 90,078.07

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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.