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Finding the Third Proportional to 40,875.75 and 87,576.19

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Solution

The third proportional to 40,875.75 and 87,576.19 is: 187,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,875.75 : 87,576.19 = 87,576.19 : x
  2. Step 2: Convert to fraction form
    40,875.75/87,576.19 = 87,576.19/x
  3. Step 3: Cross multiply
    40,875.75x = 87,576.19 × 87,576.19
  4. Step 4: Simplify right side
    40,875.75x = 7,669,588,617.04
  5. Step 5: Solve for x
    x = 7,669,588,617.04/40,875.75
  6. Step 6: Final answer
    x = 187,631.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.