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Finding the Third Proportional to 31,417.88 and 67,755.23

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Solution

The third proportional to 31,417.88 and 67,755.23 is: 146,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.88 : 67,755.23 = 67,755.23 : x
  2. Step 2: Convert to fraction form
    31,417.88/67,755.23 = 67,755.23/x
  3. Step 3: Cross multiply
    31,417.88x = 67,755.23 × 67,755.23
  4. Step 4: Simplify right side
    31,417.88x = 4,590,771,785.21
  5. Step 5: Solve for x
    x = 4,590,771,785.21/31,417.88
  6. Step 6: Final answer
    x = 146,119.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.