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Finding the Third Proportional to 14,301.75 and 31,370.25

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Solution

The third proportional to 14,301.75 and 31,370.25 is: 68,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.75 : 31,370.25 = 31,370.25 : x
  2. Step 2: Convert to fraction form
    14,301.75/31,370.25 = 31,370.25/x
  3. Step 3: Cross multiply
    14,301.75x = 31,370.25 × 31,370.25
  4. Step 4: Simplify right side
    14,301.75x = 984,092,585.06
  5. Step 5: Solve for x
    x = 984,092,585.06/14,301.75
  6. Step 6: Final answer
    x = 68,809.24

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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.