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Finding the Third Proportional to 7,902.56 and 14,301.56

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Solution

The third proportional to 7,902.56 and 14,301.56 is: 25,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.56 : 14,301.56 = 14,301.56 : x
  2. Step 2: Convert to fraction form
    7,902.56/14,301.56 = 14,301.56/x
  3. Step 3: Cross multiply
    7,902.56x = 14,301.56 × 14,301.56
  4. Step 4: Simplify right side
    7,902.56x = 204,534,689.94
  5. Step 5: Solve for x
    x = 204,534,689.94/7,902.56
  6. Step 6: Final answer
    x = 25,882.07

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.