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Finding the Third Proportional to 9,964.90 and 15,553.90

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Solution

The third proportional to 9,964.90 and 15,553.90 is: 24,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.90 : 15,553.90 = 15,553.90 : x
  2. Step 2: Convert to fraction form
    9,964.90/15,553.90 = 15,553.90/x
  3. Step 3: Cross multiply
    9,964.90x = 15,553.90 × 15,553.90
  4. Step 4: Simplify right side
    9,964.90x = 241,923,756.60
  5. Step 5: Solve for x
    x = 241,923,756.60/9,964.90
  6. Step 6: Final answer
    x = 24,277.59

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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.