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Finding the Third Proportional to 32,110 and 42,619

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Solution

The third proportional to 32,110 and 42,619 is: 56,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,110 : 42,619 = 42,619 : x
  2. Step 2: Convert to fraction form
    32,110/42,619 = 42,619/x
  3. Step 3: Cross multiply
    32,110x = 42,619 × 42,619
  4. Step 4: Simplify right side
    32,110x = 1,816,379,161
  5. Step 5: Solve for x
    x = 1,816,379,161/32,110
  6. Step 6: Final answer
    x = 56,567.40

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.