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Finding the Third Proportional to 795.45 and 1,727.58

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Solution

The third proportional to 795.45 and 1,727.58 is: 3,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.45 : 1,727.58 = 1,727.58 : x
  2. Step 2: Convert to fraction form
    795.45/1,727.58 = 1,727.58/x
  3. Step 3: Cross multiply
    795.45x = 1,727.58 × 1,727.58
  4. Step 4: Simplify right side
    795.45x = 2,984,526.18
  5. Step 5: Solve for x
    x = 2,984,526.18/795.45
  6. Step 6: Final answer
    x = 3,752.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.