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Finding the Third Proportional to 795.75 and 1,705.88

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Solution

The third proportional to 795.75 and 1,705.88 is: 3,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.75 : 1,705.88 = 1,705.88 : x
  2. Step 2: Convert to fraction form
    795.75/1,705.88 = 1,705.88/x
  3. Step 3: Cross multiply
    795.75x = 1,705.88 × 1,705.88
  4. Step 4: Simplify right side
    795.75x = 2,910,009.52
  5. Step 5: Solve for x
    x = 2,910,009.52/795.75
  6. Step 6: Final answer
    x = 3,656.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.