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Finding the Third Proportional to 2,466 and 6,682.50

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Solution

The third proportional to 2,466 and 6,682.50 is: 18,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466 : 6,682.50 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    2,466/6,682.50 = 6,682.50/x
  3. Step 3: Cross multiply
    2,466x = 6,682.50 × 6,682.50
  4. Step 4: Simplify right side
    2,466x = 44,655,806.25
  5. Step 5: Solve for x
    x = 44,655,806.25/2,466
  6. Step 6: Final answer
    x = 18,108.60

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.