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Finding the Third Proportional to 25,650 and 63,257.63

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Solution

The third proportional to 25,650 and 63,257.63 is: 156,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 63,257.63 = 63,257.63 : x
  2. Step 2: Convert to fraction form
    25,650/63,257.63 = 63,257.63/x
  3. Step 3: Cross multiply
    25,650x = 63,257.63 × 63,257.63
  4. Step 4: Simplify right side
    25,650x = 4,001,527,120.64
  5. Step 5: Solve for x
    x = 4,001,527,120.64/25,650
  6. Step 6: Final answer
    x = 156,004.96

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.