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Finding the Third Proportional to 27,969 and 43,209

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Solution

The third proportional to 27,969 and 43,209 is: 66,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969 : 43,209 = 43,209 : x
  2. Step 2: Convert to fraction form
    27,969/43,209 = 43,209/x
  3. Step 3: Cross multiply
    27,969x = 43,209 × 43,209
  4. Step 4: Simplify right side
    27,969x = 1,867,017,681
  5. Step 5: Solve for x
    x = 1,867,017,681/27,969
  6. Step 6: Final answer
    x = 66,753.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.