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Finding the Third Proportional to 10,837.13 and 25,179.19

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Solution

The third proportional to 10,837.13 and 25,179.19 is: 58,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.13 : 25,179.19 = 25,179.19 : x
  2. Step 2: Convert to fraction form
    10,837.13/25,179.19 = 25,179.19/x
  3. Step 3: Cross multiply
    10,837.13x = 25,179.19 × 25,179.19
  4. Step 4: Simplify right side
    10,837.13x = 633,991,483.16
  5. Step 5: Solve for x
    x = 633,991,483.16/10,837.13
  6. Step 6: Final answer
    x = 58,501.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.