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Finding the Third Proportional to 2,986.50 and 6,569.50

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Solution

The third proportional to 2,986.50 and 6,569.50 is: 14,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.50 : 6,569.50 = 6,569.50 : x
  2. Step 2: Convert to fraction form
    2,986.50/6,569.50 = 6,569.50/x
  3. Step 3: Cross multiply
    2,986.50x = 6,569.50 × 6,569.50
  4. Step 4: Simplify right side
    2,986.50x = 43,158,330.25
  5. Step 5: Solve for x
    x = 43,158,330.25/2,986.50
  6. Step 6: Final answer
    x = 14,451.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.