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Finding the Third Proportional to 39,576.38 and 86,657.63

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Solution

The third proportional to 39,576.38 and 86,657.63 is: 189,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576.38 : 86,657.63 = 86,657.63 : x
  2. Step 2: Convert to fraction form
    39,576.38/86,657.63 = 86,657.63/x
  3. Step 3: Cross multiply
    39,576.38x = 86,657.63 × 86,657.63
  4. Step 4: Simplify right side
    39,576.38x = 7,509,543,970.64
  5. Step 5: Solve for x
    x = 7,509,543,970.64/39,576.38
  6. Step 6: Final answer
    x = 189,748.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.