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Finding the Third Proportional to 1,876.78 and 2,632.78

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Solution

The third proportional to 1,876.78 and 2,632.78 is: 3,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.78 : 2,632.78 = 2,632.78 : x
  2. Step 2: Convert to fraction form
    1,876.78/2,632.78 = 2,632.78/x
  3. Step 3: Cross multiply
    1,876.78x = 2,632.78 × 2,632.78
  4. Step 4: Simplify right side
    1,876.78x = 6,931,537.11
  5. Step 5: Solve for x
    x = 6,931,537.11/1,876.78
  6. Step 6: Final answer
    x = 3,693.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.