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Finding the Third Proportional to 11,851.59 and 25,462.13

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Solution

The third proportional to 11,851.59 and 25,462.13 is: 54,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.59 : 25,462.13 = 25,462.13 : x
  2. Step 2: Convert to fraction form
    11,851.59/25,462.13 = 25,462.13/x
  3. Step 3: Cross multiply
    11,851.59x = 25,462.13 × 25,462.13
  4. Step 4: Simplify right side
    11,851.59x = 648,319,809.52
  5. Step 5: Solve for x
    x = 648,319,809.52/11,851.59
  6. Step 6: Final answer
    x = 54,703.18

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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.