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Finding the Third Proportional to 1,509 and 3,633

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Solution

The third proportional to 1,509 and 3,633 is: 8,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509 : 3,633 = 3,633 : x
  2. Step 2: Convert to fraction form
    1,509/3,633 = 3,633/x
  3. Step 3: Cross multiply
    1,509x = 3,633 × 3,633
  4. Step 4: Simplify right side
    1,509x = 13,198,689
  5. Step 5: Solve for x
    x = 13,198,689/1,509
  6. Step 6: Final answer
    x = 8,746.65

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.