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Finding the Third Proportional to 12,920 and 23,291

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Solution

The third proportional to 12,920 and 23,291 is: 41,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920 : 23,291 = 23,291 : x
  2. Step 2: Convert to fraction form
    12,920/23,291 = 23,291/x
  3. Step 3: Cross multiply
    12,920x = 23,291 × 23,291
  4. Step 4: Simplify right side
    12,920x = 542,470,681
  5. Step 5: Solve for x
    x = 542,470,681/12,920
  6. Step 6: Final answer
    x = 41,986.89

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.