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Finding the Third Proportional to 7,099.10 and 15,487.66

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Solution

The third proportional to 7,099.10 and 15,487.66 is: 33,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.10 : 15,487.66 = 15,487.66 : x
  2. Step 2: Convert to fraction form
    7,099.10/15,487.66 = 15,487.66/x
  3. Step 3: Cross multiply
    7,099.10x = 15,487.66 × 15,487.66
  4. Step 4: Simplify right side
    7,099.10x = 239,867,738.11
  5. Step 5: Solve for x
    x = 239,867,738.11/7,099.10
  6. Step 6: Final answer
    x = 33,788.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.