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Finding the Third Proportional to 5,919.47 and 9,864.47

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Solution

The third proportional to 5,919.47 and 9,864.47 is: 16,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.47 : 9,864.47 = 9,864.47 : x
  2. Step 2: Convert to fraction form
    5,919.47/9,864.47 = 9,864.47/x
  3. Step 3: Cross multiply
    5,919.47x = 9,864.47 × 9,864.47
  4. Step 4: Simplify right side
    5,919.47x = 97,307,743.72
  5. Step 5: Solve for x
    x = 97,307,743.72/5,919.47
  6. Step 6: Final answer
    x = 16,438.59

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.