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Finding the Third Proportional to 40,536 and 59,238

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Solution

The third proportional to 40,536 and 59,238 is: 86,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,536 : 59,238 = 59,238 : x
  2. Step 2: Convert to fraction form
    40,536/59,238 = 59,238/x
  3. Step 3: Cross multiply
    40,536x = 59,238 × 59,238
  4. Step 4: Simplify right side
    40,536x = 3,509,140,644
  5. Step 5: Solve for x
    x = 3,509,140,644/40,536
  6. Step 6: Final answer
    x = 86,568.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.