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Finding the Third Proportional to 27,282 and 40,818

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Solution

The third proportional to 27,282 and 40,818 is: 61,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282 : 40,818 = 40,818 : x
  2. Step 2: Convert to fraction form
    27,282/40,818 = 40,818/x
  3. Step 3: Cross multiply
    27,282x = 40,818 × 40,818
  4. Step 4: Simplify right side
    27,282x = 1,666,109,124
  5. Step 5: Solve for x
    x = 1,666,109,124/27,282
  6. Step 6: Final answer
    x = 61,069.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.