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Finding the Third Proportional to 5,416.88 and 10,251.56

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Solution

The third proportional to 5,416.88 and 10,251.56 is: 19,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.88 : 10,251.56 = 10,251.56 : x
  2. Step 2: Convert to fraction form
    5,416.88/10,251.56 = 10,251.56/x
  3. Step 3: Cross multiply
    5,416.88x = 10,251.56 × 10,251.56
  4. Step 4: Simplify right side
    5,416.88x = 105,094,533.69
  5. Step 5: Solve for x
    x = 105,094,533.69/5,416.88
  6. Step 6: Final answer
    x = 19,401.32

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.