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Finding the Third Proportional to 2,701.69 and 6,281.72

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Solution

The third proportional to 2,701.69 and 6,281.72 is: 14,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.69 : 6,281.72 = 6,281.72 : x
  2. Step 2: Convert to fraction form
    2,701.69/6,281.72 = 6,281.72/x
  3. Step 3: Cross multiply
    2,701.69x = 6,281.72 × 6,281.72
  4. Step 4: Simplify right side
    2,701.69x = 39,459,990.45
  5. Step 5: Solve for x
    x = 39,459,990.45/2,701.69
  6. Step 6: Final answer
    x = 14,605.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.