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Finding the Third Proportional to 8,697 and 15,369

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Solution

The third proportional to 8,697 and 15,369 is: 27,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697 : 15,369 = 15,369 : x
  2. Step 2: Convert to fraction form
    8,697/15,369 = 15,369/x
  3. Step 3: Cross multiply
    8,697x = 15,369 × 15,369
  4. Step 4: Simplify right side
    8,697x = 236,206,161
  5. Step 5: Solve for x
    x = 236,206,161/8,697
  6. Step 6: Final answer
    x = 27,159.50

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.