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Finding the Third Proportional to 37,140.19 and 55,576.69

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Solution

The third proportional to 37,140.19 and 55,576.69 is: 83,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140.19 : 55,576.69 = 55,576.69 : x
  2. Step 2: Convert to fraction form
    37,140.19/55,576.69 = 55,576.69/x
  3. Step 3: Cross multiply
    37,140.19x = 55,576.69 × 55,576.69
  4. Step 4: Simplify right side
    37,140.19x = 3,088,768,193.47
  5. Step 5: Solve for x
    x = 3,088,768,193.47/37,140.19
  6. Step 6: Final answer
    x = 83,165.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.