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Finding the Third Proportional to 1,365.75 and 3,689.44

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Solution

The third proportional to 1,365.75 and 3,689.44 is: 9,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.75 : 3,689.44 = 3,689.44 : x
  2. Step 2: Convert to fraction form
    1,365.75/3,689.44 = 3,689.44/x
  3. Step 3: Cross multiply
    1,365.75x = 3,689.44 × 3,689.44
  4. Step 4: Simplify right side
    1,365.75x = 13,611,949.07
  5. Step 5: Solve for x
    x = 13,611,949.07/1,365.75
  6. Step 6: Final answer
    x = 9,966.65

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.