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Finding the Third Proportional to 12,581 and 25,959

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Solution

The third proportional to 12,581 and 25,959 is: 53,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581 : 25,959 = 25,959 : x
  2. Step 2: Convert to fraction form
    12,581/25,959 = 25,959/x
  3. Step 3: Cross multiply
    12,581x = 25,959 × 25,959
  4. Step 4: Simplify right side
    12,581x = 673,869,681
  5. Step 5: Solve for x
    x = 673,869,681/12,581
  6. Step 6: Final answer
    x = 53,562.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.