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Finding the Third Proportional to 13,695.33 and 18,287.65

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Solution

The third proportional to 13,695.33 and 18,287.65 is: 24,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.33 : 18,287.65 = 18,287.65 : x
  2. Step 2: Convert to fraction form
    13,695.33/18,287.65 = 18,287.65/x
  3. Step 3: Cross multiply
    13,695.33x = 18,287.65 × 18,287.65
  4. Step 4: Simplify right side
    13,695.33x = 334,438,085.37
  5. Step 5: Solve for x
    x = 334,438,085.37/13,695.33
  6. Step 6: Final answer
    x = 24,419.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.