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Finding the Third Proportional to 40,252 and 52,946

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Solution

The third proportional to 40,252 and 52,946 is: 69,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,252 : 52,946 = 52,946 : x
  2. Step 2: Convert to fraction form
    40,252/52,946 = 52,946/x
  3. Step 3: Cross multiply
    40,252x = 52,946 × 52,946
  4. Step 4: Simplify right side
    40,252x = 2,803,278,916
  5. Step 5: Solve for x
    x = 2,803,278,916/40,252
  6. Step 6: Final answer
    x = 69,643.22

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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.