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Finding the Third Proportional to 15,829.50 and 36,981.75

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Solution

The third proportional to 15,829.50 and 36,981.75 is: 86,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.50 : 36,981.75 = 36,981.75 : x
  2. Step 2: Convert to fraction form
    15,829.50/36,981.75 = 36,981.75/x
  3. Step 3: Cross multiply
    15,829.50x = 36,981.75 × 36,981.75
  4. Step 4: Simplify right side
    15,829.50x = 1,367,649,833.06
  5. Step 5: Solve for x
    x = 1,367,649,833.06/15,829.50
  6. Step 6: Final answer
    x = 86,398.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.