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Finding the Third Proportional to 42,538 and 63,391

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Solution

The third proportional to 42,538 and 63,391 is: 94,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538 : 63,391 = 63,391 : x
  2. Step 2: Convert to fraction form
    42,538/63,391 = 63,391/x
  3. Step 3: Cross multiply
    42,538x = 63,391 × 63,391
  4. Step 4: Simplify right side
    42,538x = 4,018,418,881
  5. Step 5: Solve for x
    x = 4,018,418,881/42,538
  6. Step 6: Final answer
    x = 94,466.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.