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Finding the Third Proportional to 32,378 and 69,364

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Solution

The third proportional to 32,378 and 69,364 is: 148,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378 : 69,364 = 69,364 : x
  2. Step 2: Convert to fraction form
    32,378/69,364 = 69,364/x
  3. Step 3: Cross multiply
    32,378x = 69,364 × 69,364
  4. Step 4: Simplify right side
    32,378x = 4,811,364,496
  5. Step 5: Solve for x
    x = 4,811,364,496/32,378
  6. Step 6: Final answer
    x = 148,599.81

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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.