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Finding the Third Proportional to 15,194.14 and 24,039.91

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Solution

The third proportional to 15,194.14 and 24,039.91 is: 38,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.14 : 24,039.91 = 24,039.91 : x
  2. Step 2: Convert to fraction form
    15,194.14/24,039.91 = 24,039.91/x
  3. Step 3: Cross multiply
    15,194.14x = 24,039.91 × 24,039.91
  4. Step 4: Simplify right side
    15,194.14x = 577,917,468.13
  5. Step 5: Solve for x
    x = 577,917,468.13/15,194.14
  6. Step 6: Final answer
    x = 38,035.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.