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Finding the Third Proportional to 1,742.06 and 2,659.22

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Solution

The third proportional to 1,742.06 and 2,659.22 is: 4,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.06 : 2,659.22 = 2,659.22 : x
  2. Step 2: Convert to fraction form
    1,742.06/2,659.22 = 2,659.22/x
  3. Step 3: Cross multiply
    1,742.06x = 2,659.22 × 2,659.22
  4. Step 4: Simplify right side
    1,742.06x = 7,071,444.36
  5. Step 5: Solve for x
    x = 7,071,444.36/1,742.06
  6. Step 6: Final answer
    x = 4,059.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.