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Finding the Third Proportional to 3,042.84 and 6,560.16

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Solution

The third proportional to 3,042.84 and 6,560.16 is: 14,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.84 : 6,560.16 = 6,560.16 : x
  2. Step 2: Convert to fraction form
    3,042.84/6,560.16 = 6,560.16/x
  3. Step 3: Cross multiply
    3,042.84x = 6,560.16 × 6,560.16
  4. Step 4: Simplify right side
    3,042.84x = 43,035,650.02
  5. Step 5: Solve for x
    x = 43,035,650.02/3,042.84
  6. Step 6: Final answer
    x = 14,143.23

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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.