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Finding the Third Proportional to 32,722.75 and 52,501

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Solution

The third proportional to 32,722.75 and 52,501 is: 84,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722.75 : 52,501 = 52,501 : x
  2. Step 2: Convert to fraction form
    32,722.75/52,501 = 52,501/x
  3. Step 3: Cross multiply
    32,722.75x = 52,501 × 52,501
  4. Step 4: Simplify right side
    32,722.75x = 2,756,355,001
  5. Step 5: Solve for x
    x = 2,756,355,001/32,722.75
  6. Step 6: Final answer
    x = 84,233.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.