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Finding the Third Proportional to 11,437.13 and 24,459.38

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Solution

The third proportional to 11,437.13 and 24,459.38 is: 52,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.13 : 24,459.38 = 24,459.38 : x
  2. Step 2: Convert to fraction form
    11,437.13/24,459.38 = 24,459.38/x
  3. Step 3: Cross multiply
    11,437.13x = 24,459.38 × 24,459.38
  4. Step 4: Simplify right side
    11,437.13x = 598,261,025.39
  5. Step 5: Solve for x
    x = 598,261,025.39/11,437.13
  6. Step 6: Final answer
    x = 52,308.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.