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Finding the Third Proportional to 25,147.13 and 52,358.06

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Solution

The third proportional to 25,147.13 and 52,358.06 is: 109,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147.13 : 52,358.06 = 52,358.06 : x
  2. Step 2: Convert to fraction form
    25,147.13/52,358.06 = 52,358.06/x
  3. Step 3: Cross multiply
    25,147.13x = 52,358.06 × 52,358.06
  4. Step 4: Simplify right side
    25,147.13x = 2,741,366,708.75
  5. Step 5: Solve for x
    x = 2,741,366,708.75/25,147.13
  6. Step 6: Final answer
    x = 109,013.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.