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Finding the Third Proportional to 3,140.02 and 6,769.83

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Solution

The third proportional to 3,140.02 and 6,769.83 is: 14,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.02 : 6,769.83 = 6,769.83 : x
  2. Step 2: Convert to fraction form
    3,140.02/6,769.83 = 6,769.83/x
  3. Step 3: Cross multiply
    3,140.02x = 6,769.83 × 6,769.83
  4. Step 4: Simplify right side
    3,140.02x = 45,830,572.84
  5. Step 5: Solve for x
    x = 45,830,572.84/3,140.02
  6. Step 6: Final answer
    x = 14,595.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.