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Finding the Third Proportional to 23,825.81 and 51,801.19

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Solution

The third proportional to 23,825.81 and 51,801.19 is: 112,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.81 : 51,801.19 = 51,801.19 : x
  2. Step 2: Convert to fraction form
    23,825.81/51,801.19 = 51,801.19/x
  3. Step 3: Cross multiply
    23,825.81x = 51,801.19 × 51,801.19
  4. Step 4: Simplify right side
    23,825.81x = 2,683,363,026.41
  5. Step 5: Solve for x
    x = 2,683,363,026.41/23,825.81
  6. Step 6: Final answer
    x = 112,624.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.