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Finding the Third Proportional to 31,564.13 and 69,066.56

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Solution

The third proportional to 31,564.13 and 69,066.56 is: 151,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.13 : 69,066.56 = 69,066.56 : x
  2. Step 2: Convert to fraction form
    31,564.13/69,066.56 = 69,066.56/x
  3. Step 3: Cross multiply
    31,564.13x = 69,066.56 × 69,066.56
  4. Step 4: Simplify right side
    31,564.13x = 4,770,190,055.57
  5. Step 5: Solve for x
    x = 4,770,190,055.57/31,564.13
  6. Step 6: Final answer
    x = 151,126.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.