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Finding the Third Proportional to 10,722.38 and 14,316.75

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Solution

The third proportional to 10,722.38 and 14,316.75 is: 19,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.38 : 14,316.75 = 14,316.75 : x
  2. Step 2: Convert to fraction form
    10,722.38/14,316.75 = 14,316.75/x
  3. Step 3: Cross multiply
    10,722.38x = 14,316.75 × 14,316.75
  4. Step 4: Simplify right side
    10,722.38x = 204,969,330.56
  5. Step 5: Solve for x
    x = 204,969,330.56/10,722.38
  6. Step 6: Final answer
    x = 19,116.04

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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.