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Finding the Third Proportional to 24,175.13 and 37,356.19

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Solution

The third proportional to 24,175.13 and 37,356.19 is: 57,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.13 : 37,356.19 = 37,356.19 : x
  2. Step 2: Convert to fraction form
    24,175.13/37,356.19 = 37,356.19/x
  3. Step 3: Cross multiply
    24,175.13x = 37,356.19 × 37,356.19
  4. Step 4: Simplify right side
    24,175.13x = 1,395,484,744.54
  5. Step 5: Solve for x
    x = 1,395,484,744.54/24,175.13
  6. Step 6: Final answer
    x = 57,723.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.