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Finding the Third Proportional to 32,380 and 69,368

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Solution

The third proportional to 32,380 and 69,368 is: 148,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380 : 69,368 = 69,368 : x
  2. Step 2: Convert to fraction form
    32,380/69,368 = 69,368/x
  3. Step 3: Cross multiply
    32,380x = 69,368 × 69,368
  4. Step 4: Simplify right side
    32,380x = 4,811,919,424
  5. Step 5: Solve for x
    x = 4,811,919,424/32,380
  6. Step 6: Final answer
    x = 148,607.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.