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Finding the Third Proportional to 15,999.65 and 23,046.79

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Solution

The third proportional to 15,999.65 and 23,046.79 is: 33,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.65 : 23,046.79 = 23,046.79 : x
  2. Step 2: Convert to fraction form
    15,999.65/23,046.79 = 23,046.79/x
  3. Step 3: Cross multiply
    15,999.65x = 23,046.79 × 23,046.79
  4. Step 4: Simplify right side
    15,999.65x = 531,154,711.16
  5. Step 5: Solve for x
    x = 531,154,711.16/15,999.65
  6. Step 6: Final answer
    x = 33,197.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.