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Finding the Third Proportional to 7,850 and 10,653

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Solution

The third proportional to 7,850 and 10,653 is: 14,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850 : 10,653 = 10,653 : x
  2. Step 2: Convert to fraction form
    7,850/10,653 = 10,653/x
  3. Step 3: Cross multiply
    7,850x = 10,653 × 10,653
  4. Step 4: Simplify right side
    7,850x = 113,486,409
  5. Step 5: Solve for x
    x = 113,486,409/7,850
  6. Step 6: Final answer
    x = 14,456.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.