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Finding the Third Proportional to 12,411 and 23,567

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Solution

The third proportional to 12,411 and 23,567 is: 44,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411 : 23,567 = 23,567 : x
  2. Step 2: Convert to fraction form
    12,411/23,567 = 23,567/x
  3. Step 3: Cross multiply
    12,411x = 23,567 × 23,567
  4. Step 4: Simplify right side
    12,411x = 555,403,489
  5. Step 5: Solve for x
    x = 555,403,489/12,411
  6. Step 6: Final answer
    x = 44,750.91

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.