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Finding the Third Proportional to 25,656 and 55,132.13

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Solution

The third proportional to 25,656 and 55,132.13 is: 118,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656 : 55,132.13 = 55,132.13 : x
  2. Step 2: Convert to fraction form
    25,656/55,132.13 = 55,132.13/x
  3. Step 3: Cross multiply
    25,656x = 55,132.13 × 55,132.13
  4. Step 4: Simplify right side
    25,656x = 3,039,551,207.02
  5. Step 5: Solve for x
    x = 3,039,551,207.02/25,656
  6. Step 6: Final answer
    x = 118,473.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.