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Finding the Third Proportional to 2,781 and 6,457.50

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Solution

The third proportional to 2,781 and 6,457.50 is: 14,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 6,457.50 = 6,457.50 : x
  2. Step 2: Convert to fraction form
    2,781/6,457.50 = 6,457.50/x
  3. Step 3: Cross multiply
    2,781x = 6,457.50 × 6,457.50
  4. Step 4: Simplify right side
    2,781x = 41,699,306.25
  5. Step 5: Solve for x
    x = 41,699,306.25/2,781
  6. Step 6: Final answer
    x = 14,994.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.