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Finding the Third Proportional to 786.19 and 1,648.88

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Solution

The third proportional to 786.19 and 1,648.88 is: 3,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.19 : 1,648.88 = 1,648.88 : x
  2. Step 2: Convert to fraction form
    786.19/1,648.88 = 1,648.88/x
  3. Step 3: Cross multiply
    786.19x = 1,648.88 × 1,648.88
  4. Step 4: Simplify right side
    786.19x = 2,718,788.77
  5. Step 5: Solve for x
    x = 2,718,788.77/786.19
  6. Step 6: Final answer
    x = 3,458.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.