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Finding the Third Proportional to 6,715.13 and 14,721.19

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Solution

The third proportional to 6,715.13 and 14,721.19 is: 32,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.13 : 14,721.19 = 14,721.19 : x
  2. Step 2: Convert to fraction form
    6,715.13/14,721.19 = 14,721.19/x
  3. Step 3: Cross multiply
    6,715.13x = 14,721.19 × 14,721.19
  4. Step 4: Simplify right side
    6,715.13x = 216,713,361.41
  5. Step 5: Solve for x
    x = 216,713,361.41/6,715.13
  6. Step 6: Final answer
    x = 32,272.42

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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.