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Finding the Third Proportional to 42,885 and 63,703

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Solution

The third proportional to 42,885 and 63,703 is: 94,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,885 : 63,703 = 63,703 : x
  2. Step 2: Convert to fraction form
    42,885/63,703 = 63,703/x
  3. Step 3: Cross multiply
    42,885x = 63,703 × 63,703
  4. Step 4: Simplify right side
    42,885x = 4,058,072,209
  5. Step 5: Solve for x
    x = 4,058,072,209/42,885
  6. Step 6: Final answer
    x = 94,626.84

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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.