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Finding the Third Proportional to 32,098.78 and 36,563.91

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Solution

The third proportional to 32,098.78 and 36,563.91 is: 41,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.78 : 36,563.91 = 36,563.91 : x
  2. Step 2: Convert to fraction form
    32,098.78/36,563.91 = 36,563.91/x
  3. Step 3: Cross multiply
    32,098.78x = 36,563.91 × 36,563.91
  4. Step 4: Simplify right side
    32,098.78x = 1,336,919,240.26
  5. Step 5: Solve for x
    x = 1,336,919,240.26/32,098.78
  6. Step 6: Final answer
    x = 41,650.16

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.