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Finding the Third Proportional to 25,902 and 40,645

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Solution

The third proportional to 25,902 and 40,645 is: 63,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902 : 40,645 = 40,645 : x
  2. Step 2: Convert to fraction form
    25,902/40,645 = 40,645/x
  3. Step 3: Cross multiply
    25,902x = 40,645 × 40,645
  4. Step 4: Simplify right side
    25,902x = 1,652,016,025
  5. Step 5: Solve for x
    x = 1,652,016,025/25,902
  6. Step 6: Final answer
    x = 63,779.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.