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Finding the Third Proportional to 40,336 and 59,096

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Solution

The third proportional to 40,336 and 59,096 is: 86,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,336 : 59,096 = 59,096 : x
  2. Step 2: Convert to fraction form
    40,336/59,096 = 59,096/x
  3. Step 3: Cross multiply
    40,336x = 59,096 × 59,096
  4. Step 4: Simplify right side
    40,336x = 3,492,337,216
  5. Step 5: Solve for x
    x = 3,492,337,216/40,336
  6. Step 6: Final answer
    x = 86,581.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.