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Finding the Third Proportional to 7,087.50 and 10,411.88

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Solution

The third proportional to 7,087.50 and 10,411.88 is: 15,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.50 : 10,411.88 = 10,411.88 : x
  2. Step 2: Convert to fraction form
    7,087.50/10,411.88 = 10,411.88/x
  3. Step 3: Cross multiply
    7,087.50x = 10,411.88 × 10,411.88
  4. Step 4: Simplify right side
    7,087.50x = 108,407,141.02
  5. Step 5: Solve for x
    x = 108,407,141.02/7,087.50
  6. Step 6: Final answer
    x = 15,295.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.