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Finding the Third Proportional to 31,968.42 and 50,148.18

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Solution

The third proportional to 31,968.42 and 50,148.18 is: 78,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.42 : 50,148.18 = 50,148.18 : x
  2. Step 2: Convert to fraction form
    31,968.42/50,148.18 = 50,148.18/x
  3. Step 3: Cross multiply
    31,968.42x = 50,148.18 × 50,148.18
  4. Step 4: Simplify right side
    31,968.42x = 2,514,839,534.19
  5. Step 5: Solve for x
    x = 2,514,839,534.19/31,968.42
  6. Step 6: Final answer
    x = 78,666.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.