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Finding the Third Proportional to 31,567.22 and 67,755.23

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Solution

The third proportional to 31,567.22 and 67,755.23 is: 145,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567.22 : 67,755.23 = 67,755.23 : x
  2. Step 2: Convert to fraction form
    31,567.22/67,755.23 = 67,755.23/x
  3. Step 3: Cross multiply
    31,567.22x = 67,755.23 × 67,755.23
  4. Step 4: Simplify right side
    31,567.22x = 4,590,771,785.21
  5. Step 5: Solve for x
    x = 4,590,771,785.21/31,567.22
  6. Step 6: Final answer
    x = 145,428.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.