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Finding the Third Proportional to 32,197.50 and 71,928

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Solution

The third proportional to 32,197.50 and 71,928 is: 160,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.50 : 71,928 = 71,928 : x
  2. Step 2: Convert to fraction form
    32,197.50/71,928 = 71,928/x
  3. Step 3: Cross multiply
    32,197.50x = 71,928 × 71,928
  4. Step 4: Simplify right side
    32,197.50x = 5,173,637,184
  5. Step 5: Solve for x
    x = 5,173,637,184/32,197.50
  6. Step 6: Final answer
    x = 160,684.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.