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Finding the Third Proportional to 9,697 and 15,379

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Solution

The third proportional to 9,697 and 15,379 is: 24,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697 : 15,379 = 15,379 : x
  2. Step 2: Convert to fraction form
    9,697/15,379 = 15,379/x
  3. Step 3: Cross multiply
    9,697x = 15,379 × 15,379
  4. Step 4: Simplify right side
    9,697x = 236,513,641
  5. Step 5: Solve for x
    x = 236,513,641/9,697
  6. Step 6: Final answer
    x = 24,390.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.