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Finding the Third Proportional to 8,370 and 9,693

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Solution

The third proportional to 8,370 and 9,693 is: 11,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 9,693 = 9,693 : x
  2. Step 2: Convert to fraction form
    8,370/9,693 = 9,693/x
  3. Step 3: Cross multiply
    8,370x = 9,693 × 9,693
  4. Step 4: Simplify right side
    8,370x = 93,954,249
  5. Step 5: Solve for x
    x = 93,954,249/8,370
  6. Step 6: Final answer
    x = 11,225.12

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.