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Finding the Third Proportional to 42,409 and 63,710

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Solution

The third proportional to 42,409 and 63,710 is: 95,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409 : 63,710 = 63,710 : x
  2. Step 2: Convert to fraction form
    42,409/63,710 = 63,710/x
  3. Step 3: Cross multiply
    42,409x = 63,710 × 63,710
  4. Step 4: Simplify right side
    42,409x = 4,058,964,100
  5. Step 5: Solve for x
    x = 4,058,964,100/42,409
  6. Step 6: Final answer
    x = 95,709.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.