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Finding the Third Proportional to 7,113.66 and 10,693.27

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Solution

The third proportional to 7,113.66 and 10,693.27 is: 16,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.66 : 10,693.27 = 10,693.27 : x
  2. Step 2: Convert to fraction form
    7,113.66/10,693.27 = 10,693.27/x
  3. Step 3: Cross multiply
    7,113.66x = 10,693.27 × 10,693.27
  4. Step 4: Simplify right side
    7,113.66x = 114,345,929.73
  5. Step 5: Solve for x
    x = 114,345,929.73/7,113.66
  6. Step 6: Final answer
    x = 16,074.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.