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Finding the Third Proportional to 27,988 and 43,541

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Solution

The third proportional to 27,988 and 43,541 is: 67,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988 : 43,541 = 43,541 : x
  2. Step 2: Convert to fraction form
    27,988/43,541 = 43,541/x
  3. Step 3: Cross multiply
    27,988x = 43,541 × 43,541
  4. Step 4: Simplify right side
    27,988x = 1,895,818,681
  5. Step 5: Solve for x
    x = 1,895,818,681/27,988
  6. Step 6: Final answer
    x = 67,736.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.