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Finding the Third Proportional to 42,794 and 61,641

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Solution

The third proportional to 42,794 and 61,641 is: 88,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,794 : 61,641 = 61,641 : x
  2. Step 2: Convert to fraction form
    42,794/61,641 = 61,641/x
  3. Step 3: Cross multiply
    42,794x = 61,641 × 61,641
  4. Step 4: Simplify right side
    42,794x = 3,799,612,881
  5. Step 5: Solve for x
    x = 3,799,612,881/42,794
  6. Step 6: Final answer
    x = 88,788.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.