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Finding the Third Proportional to 5,143.50 and 6,809.06

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Solution

The third proportional to 5,143.50 and 6,809.06 is: 9,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.50 : 6,809.06 = 6,809.06 : x
  2. Step 2: Convert to fraction form
    5,143.50/6,809.06 = 6,809.06/x
  3. Step 3: Cross multiply
    5,143.50x = 6,809.06 × 6,809.06
  4. Step 4: Simplify right side
    5,143.50x = 46,363,332.13
  5. Step 5: Solve for x
    x = 46,363,332.13/5,143.50
  6. Step 6: Final answer
    x = 9,013.97

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.