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Finding the Third Proportional to 8,370 and 9,594

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Solution

The third proportional to 8,370 and 9,594 is: 10,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 9,594 = 9,594 : x
  2. Step 2: Convert to fraction form
    8,370/9,594 = 9,594/x
  3. Step 3: Cross multiply
    8,370x = 9,594 × 9,594
  4. Step 4: Simplify right side
    8,370x = 92,044,836
  5. Step 5: Solve for x
    x = 92,044,836/8,370
  6. Step 6: Final answer
    x = 10,996.99

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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.