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Finding the Third Proportional to 24,031.13 and 51,614.44

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Solution

The third proportional to 24,031.13 and 51,614.44 is: 110,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.13 : 51,614.44 = 51,614.44 : x
  2. Step 2: Convert to fraction form
    24,031.13/51,614.44 = 51,614.44/x
  3. Step 3: Cross multiply
    24,031.13x = 51,614.44 × 51,614.44
  4. Step 4: Simplify right side
    24,031.13x = 2,664,050,158.44
  5. Step 5: Solve for x
    x = 2,664,050,158.44/24,031.13
  6. Step 6: Final answer
    x = 110,858.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.