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Finding the Third Proportional to 24,284.25 and 51,464.25

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Solution

The third proportional to 24,284.25 and 51,464.25 is: 109,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.25 : 51,464.25 = 51,464.25 : x
  2. Step 2: Convert to fraction form
    24,284.25/51,464.25 = 51,464.25/x
  3. Step 3: Cross multiply
    24,284.25x = 51,464.25 × 51,464.25
  4. Step 4: Simplify right side
    24,284.25x = 2,648,569,028.06
  5. Step 5: Solve for x
    x = 2,648,569,028.06/24,284.25
  6. Step 6: Final answer
    x = 109,065.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.