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Finding the Third Proportional to 32,212.69 and 42,954.05

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Solution

The third proportional to 32,212.69 and 42,954.05 is: 57,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.69 : 42,954.05 = 42,954.05 : x
  2. Step 2: Convert to fraction form
    32,212.69/42,954.05 = 42,954.05/x
  3. Step 3: Cross multiply
    32,212.69x = 42,954.05 × 42,954.05
  4. Step 4: Simplify right side
    32,212.69x = 1,845,050,142.94
  5. Step 5: Solve for x
    x = 1,845,050,142.94/32,212.69
  6. Step 6: Final answer
    x = 57,277.13

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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.