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Finding the Third Proportional to 910.78 and 2,026.58

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Solution

The third proportional to 910.78 and 2,026.58 is: 4,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.78 : 2,026.58 = 2,026.58 : x
  2. Step 2: Convert to fraction form
    910.78/2,026.58 = 2,026.58/x
  3. Step 3: Cross multiply
    910.78x = 2,026.58 × 2,026.58
  4. Step 4: Simplify right side
    910.78x = 4,107,034.73
  5. Step 5: Solve for x
    x = 4,107,034.73/910.78
  6. Step 6: Final answer
    x = 4,509.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.