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Finding the Third Proportional to 10,251.56 and 15,958.27

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Solution

The third proportional to 10,251.56 and 15,958.27 is: 24,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.56 : 15,958.27 = 15,958.27 : x
  2. Step 2: Convert to fraction form
    10,251.56/15,958.27 = 15,958.27/x
  3. Step 3: Cross multiply
    10,251.56x = 15,958.27 × 15,958.27
  4. Step 4: Simplify right side
    10,251.56x = 254,666,241.76
  5. Step 5: Solve for x
    x = 254,666,241.76/10,251.56
  6. Step 6: Final answer
    x = 24,841.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.