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Finding the Third Proportional to 32,488.50 and 51,690

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Solution

The third proportional to 32,488.50 and 51,690 is: 82,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.50 : 51,690 = 51,690 : x
  2. Step 2: Convert to fraction form
    32,488.50/51,690 = 51,690/x
  3. Step 3: Cross multiply
    32,488.50x = 51,690 × 51,690
  4. Step 4: Simplify right side
    32,488.50x = 2,671,856,100
  5. Step 5: Solve for x
    x = 2,671,856,100/32,488.50
  6. Step 6: Final answer
    x = 82,240.06

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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.