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Finding the Third Proportional to 32,248 and 51,300

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Solution

The third proportional to 32,248 and 51,300 is: 81,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248 : 51,300 = 51,300 : x
  2. Step 2: Convert to fraction form
    32,248/51,300 = 51,300/x
  3. Step 3: Cross multiply
    32,248x = 51,300 × 51,300
  4. Step 4: Simplify right side
    32,248x = 2,631,690,000
  5. Step 5: Solve for x
    x = 2,631,690,000/32,248
  6. Step 6: Final answer
    x = 81,607.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.