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Finding the Third Proportional to 1,689.19 and 3,639.94

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Solution

The third proportional to 1,689.19 and 3,639.94 is: 7,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.19 : 3,639.94 = 3,639.94 : x
  2. Step 2: Convert to fraction form
    1,689.19/3,639.94 = 3,639.94/x
  3. Step 3: Cross multiply
    1,689.19x = 3,639.94 × 3,639.94
  4. Step 4: Simplify right side
    1,689.19x = 13,249,145.00
  5. Step 5: Solve for x
    x = 13,249,145.00/1,689.19
  6. Step 6: Final answer
    x = 7,843.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.