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Finding the Third Proportional to 7,814.46 and 17,111.18

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Solution

The third proportional to 7,814.46 and 17,111.18 is: 37,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.46 : 17,111.18 = 17,111.18 : x
  2. Step 2: Convert to fraction form
    7,814.46/17,111.18 = 17,111.18/x
  3. Step 3: Cross multiply
    7,814.46x = 17,111.18 × 17,111.18
  4. Step 4: Simplify right side
    7,814.46x = 292,792,470.30
  5. Step 5: Solve for x
    x = 292,792,470.30/7,814.46
  6. Step 6: Final answer
    x = 37,468.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.