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Finding the Third Proportional to 36,468 and 84,475.13

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Solution

The third proportional to 36,468 and 84,475.13 is: 195,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 84,475.13 = 84,475.13 : x
  2. Step 2: Convert to fraction form
    36,468/84,475.13 = 84,475.13/x
  3. Step 3: Cross multiply
    36,468x = 84,475.13 × 84,475.13
  4. Step 4: Simplify right side
    36,468x = 7,136,046,743.77
  5. Step 5: Solve for x
    x = 7,136,046,743.77/36,468
  6. Step 6: Final answer
    x = 195,679.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.