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Finding the Third Proportional to 7,117.13 and 10,698.56

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Solution

The third proportional to 7,117.13 and 10,698.56 is: 16,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.13 : 10,698.56 = 10,698.56 : x
  2. Step 2: Convert to fraction form
    7,117.13/10,698.56 = 10,698.56/x
  3. Step 3: Cross multiply
    7,117.13x = 10,698.56 × 10,698.56
  4. Step 4: Simplify right side
    7,117.13x = 114,459,239.57
  5. Step 5: Solve for x
    x = 114,459,239.57/7,117.13
  6. Step 6: Final answer
    x = 16,082.23

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