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Finding the Third Proportional to 7,098.89 and 10,511.02

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Solution

The third proportional to 7,098.89 and 10,511.02 is: 15,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.89 : 10,511.02 = 10,511.02 : x
  2. Step 2: Convert to fraction form
    7,098.89/10,511.02 = 10,511.02/x
  3. Step 3: Cross multiply
    7,098.89x = 10,511.02 × 10,511.02
  4. Step 4: Simplify right side
    7,098.89x = 110,481,449.47
  5. Step 5: Solve for x
    x = 110,481,449.47/7,098.89
  6. Step 6: Final answer
    x = 15,563.20

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.