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Finding the Third Proportional to 25,853 and 56,785

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Solution

The third proportional to 25,853 and 56,785 is: 124,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853 : 56,785 = 56,785 : x
  2. Step 2: Convert to fraction form
    25,853/56,785 = 56,785/x
  3. Step 3: Cross multiply
    25,853x = 56,785 × 56,785
  4. Step 4: Simplify right side
    25,853x = 3,224,536,225
  5. Step 5: Solve for x
    x = 3,224,536,225/25,853
  6. Step 6: Final answer
    x = 124,725.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.