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Finding the Third Proportional to 25,962.56 and 56,299.13

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Solution

The third proportional to 25,962.56 and 56,299.13 is: 122,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962.56 : 56,299.13 = 56,299.13 : x
  2. Step 2: Convert to fraction form
    25,962.56/56,299.13 = 56,299.13/x
  3. Step 3: Cross multiply
    25,962.56x = 56,299.13 × 56,299.13
  4. Step 4: Simplify right side
    25,962.56x = 3,169,591,475.77
  5. Step 5: Solve for x
    x = 3,169,591,475.77/25,962.56
  6. Step 6: Final answer
    x = 122,083.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.