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Finding the Third Proportional to 32,338 and 45,787

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Solution

The third proportional to 32,338 and 45,787 is: 64,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338 : 45,787 = 45,787 : x
  2. Step 2: Convert to fraction form
    32,338/45,787 = 45,787/x
  3. Step 3: Cross multiply
    32,338x = 45,787 × 45,787
  4. Step 4: Simplify right side
    32,338x = 2,096,449,369
  5. Step 5: Solve for x
    x = 2,096,449,369/32,338
  6. Step 6: Final answer
    x = 64,829.28

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.