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Finding the Third Proportional to 40,254 and 52,949

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Solution

The third proportional to 40,254 and 52,949 is: 69,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,254 : 52,949 = 52,949 : x
  2. Step 2: Convert to fraction form
    40,254/52,949 = 52,949/x
  3. Step 3: Cross multiply
    40,254x = 52,949 × 52,949
  4. Step 4: Simplify right side
    40,254x = 2,803,596,601
  5. Step 5: Solve for x
    x = 2,803,596,601/40,254
  6. Step 6: Final answer
    x = 69,647.65

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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.