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Finding the Third Proportional to 25,725 and 52,165

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Solution

The third proportional to 25,725 and 52,165 is: 105,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725 : 52,165 = 52,165 : x
  2. Step 2: Convert to fraction form
    25,725/52,165 = 52,165/x
  3. Step 3: Cross multiply
    25,725x = 52,165 × 52,165
  4. Step 4: Simplify right side
    25,725x = 2,721,187,225
  5. Step 5: Solve for x
    x = 2,721,187,225/25,725
  6. Step 6: Final answer
    x = 105,779.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.