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Finding the Third Proportional to 15,210 and 32,692

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Solution

The third proportional to 15,210 and 32,692 is: 70,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,210 : 32,692 = 32,692 : x
  2. Step 2: Convert to fraction form
    15,210/32,692 = 32,692/x
  3. Step 3: Cross multiply
    15,210x = 32,692 × 32,692
  4. Step 4: Simplify right side
    15,210x = 1,068,766,864
  5. Step 5: Solve for x
    x = 1,068,766,864/15,210
  6. Step 6: Final answer
    x = 70,267.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.