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Finding the Third Proportional to 8,370 and 9,612

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Solution

The third proportional to 8,370 and 9,612 is: 11,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 9,612 = 9,612 : x
  2. Step 2: Convert to fraction form
    8,370/9,612 = 9,612/x
  3. Step 3: Cross multiply
    8,370x = 9,612 × 9,612
  4. Step 4: Simplify right side
    8,370x = 92,390,544
  5. Step 5: Solve for x
    x = 92,390,544/8,370
  6. Step 6: Final answer
    x = 11,038.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.