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Finding the Third Proportional to 40,268 and 53,243

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Solution

The third proportional to 40,268 and 53,243 is: 70,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,268 : 53,243 = 53,243 : x
  2. Step 2: Convert to fraction form
    40,268/53,243 = 53,243/x
  3. Step 3: Cross multiply
    40,268x = 53,243 × 53,243
  4. Step 4: Simplify right side
    40,268x = 2,834,817,049
  5. Step 5: Solve for x
    x = 2,834,817,049/40,268
  6. Step 6: Final answer
    x = 70,398.75

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.