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Finding the Third Proportional to 6,948.28 and 15,280.37

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Solution

The third proportional to 6,948.28 and 15,280.37 is: 33,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.28 : 15,280.37 = 15,280.37 : x
  2. Step 2: Convert to fraction form
    6,948.28/15,280.37 = 15,280.37/x
  3. Step 3: Cross multiply
    6,948.28x = 15,280.37 × 15,280.37
  4. Step 4: Simplify right side
    6,948.28x = 233,489,561.70
  5. Step 5: Solve for x
    x = 233,489,561.70/6,948.28
  6. Step 6: Final answer
    x = 33,603.93

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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.