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Finding the Third Proportional to 795.19 and 1,727.06

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Solution

The third proportional to 795.19 and 1,727.06 is: 3,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.19 : 1,727.06 = 1,727.06 : x
  2. Step 2: Convert to fraction form
    795.19/1,727.06 = 1,727.06/x
  3. Step 3: Cross multiply
    795.19x = 1,727.06 × 1,727.06
  4. Step 4: Simplify right side
    795.19x = 2,982,744.88
  5. Step 5: Solve for x
    x = 2,982,744.88/795.19
  6. Step 6: Final answer
    x = 3,751.00

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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.