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Finding the Third Proportional to 1,029.67 and 1,637.17

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Solution

The third proportional to 1,029.67 and 1,637.17 is: 2,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.67 : 1,637.17 = 1,637.17 : x
  2. Step 2: Convert to fraction form
    1,029.67/1,637.17 = 1,637.17/x
  3. Step 3: Cross multiply
    1,029.67x = 1,637.17 × 1,637.17
  4. Step 4: Simplify right side
    1,029.67x = 2,680,309.37
  5. Step 5: Solve for x
    x = 2,680,309.37/1,029.67
  6. Step 6: Final answer
    x = 2,603.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.