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Finding the Third Proportional to 32,948 and 72,458

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Solution

The third proportional to 32,948 and 72,458 is: 159,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948 : 72,458 = 72,458 : x
  2. Step 2: Convert to fraction form
    32,948/72,458 = 72,458/x
  3. Step 3: Cross multiply
    32,948x = 72,458 × 72,458
  4. Step 4: Simplify right side
    32,948x = 5,250,161,764
  5. Step 5: Solve for x
    x = 5,250,161,764/32,948
  6. Step 6: Final answer
    x = 159,346.90

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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.