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Finding the Third Proportional to 40,216 and 56,906

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Solution

The third proportional to 40,216 and 56,906 is: 80,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216 : 56,906 = 56,906 : x
  2. Step 2: Convert to fraction form
    40,216/56,906 = 56,906/x
  3. Step 3: Cross multiply
    40,216x = 56,906 × 56,906
  4. Step 4: Simplify right side
    40,216x = 3,238,292,836
  5. Step 5: Solve for x
    x = 3,238,292,836/40,216
  6. Step 6: Final answer
    x = 80,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.