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Finding the Third Proportional to 24,041.25 and 37,322.16

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Solution

The third proportional to 24,041.25 and 37,322.16 is: 57,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,041.25 : 37,322.16 = 37,322.16 : x
  2. Step 2: Convert to fraction form
    24,041.25/37,322.16 = 37,322.16/x
  3. Step 3: Cross multiply
    24,041.25x = 37,322.16 × 37,322.16
  4. Step 4: Simplify right side
    24,041.25x = 1,392,943,347.15
  5. Step 5: Solve for x
    x = 1,392,943,347.15/24,041.25
  6. Step 6: Final answer
    x = 57,939.72

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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.