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Finding the Third Proportional to 37,009.13 and 89,488.13

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Solution

The third proportional to 37,009.13 and 89,488.13 is: 216,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.13 : 89,488.13 = 89,488.13 : x
  2. Step 2: Convert to fraction form
    37,009.13/89,488.13 = 89,488.13/x
  3. Step 3: Cross multiply
    37,009.13x = 89,488.13 × 89,488.13
  4. Step 4: Simplify right side
    37,009.13x = 8,008,124,516.02
  5. Step 5: Solve for x
    x = 8,008,124,516.02/37,009.13
  6. Step 6: Final answer
    x = 216,382.43

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.