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Finding the Third Proportional to 7,187.06 and 15,230.53

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Solution

The third proportional to 7,187.06 and 15,230.53 is: 32,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.06 : 15,230.53 = 15,230.53 : x
  2. Step 2: Convert to fraction form
    7,187.06/15,230.53 = 15,230.53/x
  3. Step 3: Cross multiply
    7,187.06x = 15,230.53 × 15,230.53
  4. Step 4: Simplify right side
    7,187.06x = 231,969,082.16
  5. Step 5: Solve for x
    x = 231,969,082.16/7,187.06
  6. Step 6: Final answer
    x = 32,275.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.