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Finding the Third Proportional to 5,689 and 12,312

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Solution

The third proportional to 5,689 and 12,312 is: 26,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689 : 12,312 = 12,312 : x
  2. Step 2: Convert to fraction form
    5,689/12,312 = 12,312/x
  3. Step 3: Cross multiply
    5,689x = 12,312 × 12,312
  4. Step 4: Simplify right side
    5,689x = 151,585,344
  5. Step 5: Solve for x
    x = 151,585,344/5,689
  6. Step 6: Final answer
    x = 26,645.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.