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Finding the Third Proportional to 1,689.19 and 1,837.13

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Solution

The third proportional to 1,689.19 and 1,837.13 is: 1,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.19 : 1,837.13 = 1,837.13 : x
  2. Step 2: Convert to fraction form
    1,689.19/1,837.13 = 1,837.13/x
  3. Step 3: Cross multiply
    1,689.19x = 1,837.13 × 1,837.13
  4. Step 4: Simplify right side
    1,689.19x = 3,375,028.27
  5. Step 5: Solve for x
    x = 3,375,028.27/1,689.19
  6. Step 6: Final answer
    x = 1,998.02

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.