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Finding the Third Proportional to 32,888 and 72,337

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Solution

The third proportional to 32,888 and 72,337 is: 159,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888 : 72,337 = 72,337 : x
  2. Step 2: Convert to fraction form
    32,888/72,337 = 72,337/x
  3. Step 3: Cross multiply
    32,888x = 72,337 × 72,337
  4. Step 4: Simplify right side
    32,888x = 5,232,641,569
  5. Step 5: Solve for x
    x = 5,232,641,569/32,888
  6. Step 6: Final answer
    x = 159,104.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.