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Finding the Third Proportional to 10,117.83 and 15,837.19

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Solution

The third proportional to 10,117.83 and 15,837.19 is: 24,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.83 : 15,837.19 = 15,837.19 : x
  2. Step 2: Convert to fraction form
    10,117.83/15,837.19 = 15,837.19/x
  3. Step 3: Cross multiply
    10,117.83x = 15,837.19 × 15,837.19
  4. Step 4: Simplify right side
    10,117.83x = 250,816,507.91
  5. Step 5: Solve for x
    x = 250,816,507.91/10,117.83
  6. Step 6: Final answer
    x = 24,789.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.