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Finding the Third Proportional to 1,695.75 and 2,407.13

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Solution

The third proportional to 1,695.75 and 2,407.13 is: 3,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.75 : 2,407.13 = 2,407.13 : x
  2. Step 2: Convert to fraction form
    1,695.75/2,407.13 = 2,407.13/x
  3. Step 3: Cross multiply
    1,695.75x = 2,407.13 × 2,407.13
  4. Step 4: Simplify right side
    1,695.75x = 5,794,250.77
  5. Step 5: Solve for x
    x = 5,794,250.77/1,695.75
  6. Step 6: Final answer
    x = 3,416.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.