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Finding the Third Proportional to 32,207.50 and 51,110

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Solution

The third proportional to 32,207.50 and 51,110 is: 81,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.50 : 51,110 = 51,110 : x
  2. Step 2: Convert to fraction form
    32,207.50/51,110 = 51,110/x
  3. Step 3: Cross multiply
    32,207.50x = 51,110 × 51,110
  4. Step 4: Simplify right side
    32,207.50x = 2,612,232,100
  5. Step 5: Solve for x
    x = 2,612,232,100/32,207.50
  6. Step 6: Final answer
    x = 81,106.33

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Why These Related Problems?

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