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Finding the Third Proportional to 32,924 and 72,440

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Solution

The third proportional to 32,924 and 72,440 is: 159,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924 : 72,440 = 72,440 : x
  2. Step 2: Convert to fraction form
    32,924/72,440 = 72,440/x
  3. Step 3: Cross multiply
    32,924x = 72,440 × 72,440
  4. Step 4: Simplify right side
    32,924x = 5,247,553,600
  5. Step 5: Solve for x
    x = 5,247,553,600/32,924
  6. Step 6: Final answer
    x = 159,383.84

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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.