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Finding the Third Proportional to 37,522 and 59,415

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Solution

The third proportional to 37,522 and 59,415 is: 94,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,522 : 59,415 = 59,415 : x
  2. Step 2: Convert to fraction form
    37,522/59,415 = 59,415/x
  3. Step 3: Cross multiply
    37,522x = 59,415 × 59,415
  4. Step 4: Simplify right side
    37,522x = 3,530,142,225
  5. Step 5: Solve for x
    x = 3,530,142,225/37,522
  6. Step 6: Final answer
    x = 94,081.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.