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Finding the Third Proportional to 7,128.84 and 15,680.25

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Solution

The third proportional to 7,128.84 and 15,680.25 is: 34,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.84 : 15,680.25 = 15,680.25 : x
  2. Step 2: Convert to fraction form
    7,128.84/15,680.25 = 15,680.25/x
  3. Step 3: Cross multiply
    7,128.84x = 15,680.25 × 15,680.25
  4. Step 4: Simplify right side
    7,128.84x = 245,870,240.06
  5. Step 5: Solve for x
    x = 245,870,240.06/7,128.84
  6. Step 6: Final answer
    x = 34,489.50

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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.