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Finding the Third Proportional to 38,307 and 59,463

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Solution

The third proportional to 38,307 and 59,463 is: 92,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,307 : 59,463 = 59,463 : x
  2. Step 2: Convert to fraction form
    38,307/59,463 = 59,463/x
  3. Step 3: Cross multiply
    38,307x = 59,463 × 59,463
  4. Step 4: Simplify right side
    38,307x = 3,535,848,369
  5. Step 5: Solve for x
    x = 3,535,848,369/38,307
  6. Step 6: Final answer
    x = 92,302.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.