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Finding the Third Proportional to 32,647.50 and 71,235

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Solution

The third proportional to 32,647.50 and 71,235 is: 155,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.50 : 71,235 = 71,235 : x
  2. Step 2: Convert to fraction form
    32,647.50/71,235 = 71,235/x
  3. Step 3: Cross multiply
    32,647.50x = 71,235 × 71,235
  4. Step 4: Simplify right side
    32,647.50x = 5,074,425,225
  5. Step 5: Solve for x
    x = 5,074,425,225/32,647.50
  6. Step 6: Final answer
    x = 155,430.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.