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Finding the Third Proportional to 31,419.14 and 66,069.42

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Solution

The third proportional to 31,419.14 and 66,069.42 is: 138,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.14 : 66,069.42 = 66,069.42 : x
  2. Step 2: Convert to fraction form
    31,419.14/66,069.42 = 66,069.42/x
  3. Step 3: Cross multiply
    31,419.14x = 66,069.42 × 66,069.42
  4. Step 4: Simplify right side
    31,419.14x = 4,365,168,506.90
  5. Step 5: Solve for x
    x = 4,365,168,506.90/31,419.14
  6. Step 6: Final answer
    x = 138,933.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.