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Finding the Third Proportional to 6,948.28 and 15,314.06

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Solution

The third proportional to 6,948.28 and 15,314.06 is: 33,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.28 : 15,314.06 = 15,314.06 : x
  2. Step 2: Convert to fraction form
    6,948.28/15,314.06 = 15,314.06/x
  3. Step 3: Cross multiply
    6,948.28x = 15,314.06 × 15,314.06
  4. Step 4: Simplify right side
    6,948.28x = 234,520,510.25
  5. Step 5: Solve for x
    x = 234,520,510.25/6,948.28
  6. Step 6: Final answer
    x = 33,752.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.