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Finding the Third Proportional to 1,689.19 and 3,057.75

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Solution

The third proportional to 1,689.19 and 3,057.75 is: 5,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.19 : 3,057.75 = 3,057.75 : x
  2. Step 2: Convert to fraction form
    1,689.19/3,057.75 = 3,057.75/x
  3. Step 3: Cross multiply
    1,689.19x = 3,057.75 × 3,057.75
  4. Step 4: Simplify right side
    1,689.19x = 9,349,835.06
  5. Step 5: Solve for x
    x = 9,349,835.06/1,689.19
  6. Step 6: Final answer
    x = 5,535.11

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.