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Finding the Third Proportional to 7,734 and 13,596

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Solution

The third proportional to 7,734 and 13,596 is: 23,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 13,596 = 13,596 : x
  2. Step 2: Convert to fraction form
    7,734/13,596 = 13,596/x
  3. Step 3: Cross multiply
    7,734x = 13,596 × 13,596
  4. Step 4: Simplify right side
    7,734x = 184,851,216
  5. Step 5: Solve for x
    x = 184,851,216/7,734
  6. Step 6: Final answer
    x = 23,901.11

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.