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Finding the Third Proportional to 25,972 and 56,747

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Solution

The third proportional to 25,972 and 56,747 is: 123,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972 : 56,747 = 56,747 : x
  2. Step 2: Convert to fraction form
    25,972/56,747 = 56,747/x
  3. Step 3: Cross multiply
    25,972x = 56,747 × 56,747
  4. Step 4: Simplify right side
    25,972x = 3,220,222,009
  5. Step 5: Solve for x
    x = 3,220,222,009/25,972
  6. Step 6: Final answer
    x = 123,988.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.