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Finding the Third Proportional to 2,560.78 and 4,072.78

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Solution

The third proportional to 2,560.78 and 4,072.78 is: 6,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.78 : 4,072.78 = 4,072.78 : x
  2. Step 2: Convert to fraction form
    2,560.78/4,072.78 = 4,072.78/x
  3. Step 3: Cross multiply
    2,560.78x = 4,072.78 × 4,072.78
  4. Step 4: Simplify right side
    2,560.78x = 16,587,547.11
  5. Step 5: Solve for x
    x = 16,587,547.11/2,560.78
  6. Step 6: Final answer
    x = 6,477.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.