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Finding the Third Proportional to 32,913 and 72,390

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Solution

The third proportional to 32,913 and 72,390 is: 159,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,913 : 72,390 = 72,390 : x
  2. Step 2: Convert to fraction form
    32,913/72,390 = 72,390/x
  3. Step 3: Cross multiply
    32,913x = 72,390 × 72,390
  4. Step 4: Simplify right side
    32,913x = 5,240,312,100
  5. Step 5: Solve for x
    x = 5,240,312,100/32,913
  6. Step 6: Final answer
    x = 159,217.09

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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.