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Finding the Third Proportional to 31,223.25 and 65,710.69

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Solution

The third proportional to 31,223.25 and 65,710.69 is: 138,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.25 : 65,710.69 = 65,710.69 : x
  2. Step 2: Convert to fraction form
    31,223.25/65,710.69 = 65,710.69/x
  3. Step 3: Cross multiply
    31,223.25x = 65,710.69 × 65,710.69
  4. Step 4: Simplify right side
    31,223.25x = 4,317,894,451.72
  5. Step 5: Solve for x
    x = 4,317,894,451.72/31,223.25
  6. Step 6: Final answer
    x = 138,291.00

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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.