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Finding the Third Proportional to 58,353.75 and 82,576.13

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Solution

The third proportional to 58,353.75 and 82,576.13 is: 116,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,353.75 : 82,576.13 = 82,576.13 : x
  2. Step 2: Convert to fraction form
    58,353.75/82,576.13 = 82,576.13/x
  3. Step 3: Cross multiply
    58,353.75x = 82,576.13 × 82,576.13
  4. Step 4: Simplify right side
    58,353.75x = 6,818,816,420.02
  5. Step 5: Solve for x
    x = 6,818,816,420.02/58,353.75
  6. Step 6: Final answer
    x = 116,853.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.