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Finding the Third Proportional to 42,585.75 and 63,703.13

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Solution

The third proportional to 42,585.75 and 63,703.13 is: 95,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,585.75 : 63,703.13 = 63,703.13 : x
  2. Step 2: Convert to fraction form
    42,585.75/63,703.13 = 63,703.13/x
  3. Step 3: Cross multiply
    42,585.75x = 63,703.13 × 63,703.13
  4. Step 4: Simplify right side
    42,585.75x = 4,058,088,134.77
  5. Step 5: Solve for x
    x = 4,058,088,134.77/42,585.75
  6. Step 6: Final answer
    x = 95,292.16

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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.