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Finding the Third Proportional to 32,498 and 69,928

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Solution

The third proportional to 32,498 and 69,928 is: 150,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,498 : 69,928 = 69,928 : x
  2. Step 2: Convert to fraction form
    32,498/69,928 = 69,928/x
  3. Step 3: Cross multiply
    32,498x = 69,928 × 69,928
  4. Step 4: Simplify right side
    32,498x = 4,889,925,184
  5. Step 5: Solve for x
    x = 4,889,925,184/32,498
  6. Step 6: Final answer
    x = 150,468.50

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