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Finding the Third Proportional to 32,088 and 51,698

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Solution

The third proportional to 32,088 and 51,698 is: 83,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088 : 51,698 = 51,698 : x
  2. Step 2: Convert to fraction form
    32,088/51,698 = 51,698/x
  3. Step 3: Cross multiply
    32,088x = 51,698 × 51,698
  4. Step 4: Simplify right side
    32,088x = 2,672,683,204
  5. Step 5: Solve for x
    x = 2,672,683,204/32,088
  6. Step 6: Final answer
    x = 83,292.30

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.