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Finding the Third Proportional to 1,690.24 and 2,521.34

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Solution

The third proportional to 1,690.24 and 2,521.34 is: 3,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.24 : 2,521.34 = 2,521.34 : x
  2. Step 2: Convert to fraction form
    1,690.24/2,521.34 = 2,521.34/x
  3. Step 3: Cross multiply
    1,690.24x = 2,521.34 × 2,521.34
  4. Step 4: Simplify right side
    1,690.24x = 6,357,134.91
  5. Step 5: Solve for x
    x = 6,357,134.91/1,690.24
  6. Step 6: Final answer
    x = 3,761.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.