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Finding the Third Proportional to 7,146.56 and 15,246.56

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Solution

The third proportional to 7,146.56 and 15,246.56 is: 32,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.56 : 15,246.56 = 15,246.56 : x
  2. Step 2: Convert to fraction form
    7,146.56/15,246.56 = 15,246.56/x
  3. Step 3: Cross multiply
    7,146.56x = 15,246.56 × 15,246.56
  4. Step 4: Simplify right side
    7,146.56x = 232,457,668.07
  5. Step 5: Solve for x
    x = 232,457,668.07/7,146.56
  6. Step 6: Final answer
    x = 32,527.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.