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Finding the Third Proportional to 25,781 and 56,543

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Solution

The third proportional to 25,781 and 56,543 is: 124,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781 : 56,543 = 56,543 : x
  2. Step 2: Convert to fraction form
    25,781/56,543 = 56,543/x
  3. Step 3: Cross multiply
    25,781x = 56,543 × 56,543
  4. Step 4: Simplify right side
    25,781x = 3,197,110,849
  5. Step 5: Solve for x
    x = 3,197,110,849/25,781
  6. Step 6: Final answer
    x = 124,010.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.