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Finding the Third Proportional to 38,073 and 59,277

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Solution

The third proportional to 38,073 and 59,277 is: 92,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,073 : 59,277 = 59,277 : x
  2. Step 2: Convert to fraction form
    38,073/59,277 = 59,277/x
  3. Step 3: Cross multiply
    38,073x = 59,277 × 59,277
  4. Step 4: Simplify right side
    38,073x = 3,513,762,729
  5. Step 5: Solve for x
    x = 3,513,762,729/38,073
  6. Step 6: Final answer
    x = 92,290.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.