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Finding the Third Proportional to 40,214 and 52,545

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Solution

The third proportional to 40,214 and 52,545 is: 68,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214 : 52,545 = 52,545 : x
  2. Step 2: Convert to fraction form
    40,214/52,545 = 52,545/x
  3. Step 3: Cross multiply
    40,214x = 52,545 × 52,545
  4. Step 4: Simplify right side
    40,214x = 2,760,977,025
  5. Step 5: Solve for x
    x = 2,760,977,025/40,214
  6. Step 6: Final answer
    x = 68,657.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.