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Finding the Third Proportional to 27,672 and 42,920

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Solution

The third proportional to 27,672 and 42,920 is: 66,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672 : 42,920 = 42,920 : x
  2. Step 2: Convert to fraction form
    27,672/42,920 = 42,920/x
  3. Step 3: Cross multiply
    27,672x = 42,920 × 42,920
  4. Step 4: Simplify right side
    27,672x = 1,842,126,400
  5. Step 5: Solve for x
    x = 1,842,126,400/27,672
  6. Step 6: Final answer
    x = 66,570.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.