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Finding the Third Proportional to 6,948.28 and 15,280.31

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Solution

The third proportional to 6,948.28 and 15,280.31 is: 33,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.28 : 15,280.31 = 15,280.31 : x
  2. Step 2: Convert to fraction form
    6,948.28/15,280.31 = 15,280.31/x
  3. Step 3: Cross multiply
    6,948.28x = 15,280.31 × 15,280.31
  4. Step 4: Simplify right side
    6,948.28x = 233,487,950.10
  5. Step 5: Solve for x
    x = 233,487,950.10/6,948.28
  6. Step 6: Final answer
    x = 33,603.70

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Why These Related Problems?

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