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Finding the Third Proportional to 795.80 and 1,647.70

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Solution

The third proportional to 795.80 and 1,647.70 is: 3,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.80 : 1,647.70 = 1,647.70 : x
  2. Step 2: Convert to fraction form
    795.80/1,647.70 = 1,647.70/x
  3. Step 3: Cross multiply
    795.80x = 1,647.70 × 1,647.70
  4. Step 4: Simplify right side
    795.80x = 2,714,925.59
  5. Step 5: Solve for x
    x = 2,714,925.59/795.80
  6. Step 6: Final answer
    x = 3,411.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.