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Finding the Third Proportional to 2,259 and 3,607

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Solution

The third proportional to 2,259 and 3,607 is: 5,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259 : 3,607 = 3,607 : x
  2. Step 2: Convert to fraction form
    2,259/3,607 = 3,607/x
  3. Step 3: Cross multiply
    2,259x = 3,607 × 3,607
  4. Step 4: Simplify right side
    2,259x = 13,010,449
  5. Step 5: Solve for x
    x = 13,010,449/2,259
  6. Step 6: Final answer
    x = 5,759.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.