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Finding the Third Proportional to 3,509 and 7,565

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Solution

The third proportional to 3,509 and 7,565 is: 16,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509 : 7,565 = 7,565 : x
  2. Step 2: Convert to fraction form
    3,509/7,565 = 7,565/x
  3. Step 3: Cross multiply
    3,509x = 7,565 × 7,565
  4. Step 4: Simplify right side
    3,509x = 57,229,225
  5. Step 5: Solve for x
    x = 57,229,225/3,509
  6. Step 6: Final answer
    x = 16,309.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.