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Finding the Third Proportional to 52,550 and 62,270

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Solution

The third proportional to 52,550 and 62,270 is: 73,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,550 : 62,270 = 62,270 : x
  2. Step 2: Convert to fraction form
    52,550/62,270 = 62,270/x
  3. Step 3: Cross multiply
    52,550x = 62,270 × 62,270
  4. Step 4: Simplify right side
    52,550x = 3,877,552,900
  5. Step 5: Solve for x
    x = 3,877,552,900/52,550
  6. Step 6: Final answer
    x = 73,787.88

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.