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Finding the Third Proportional to 52,546 and 62,266

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Solution

The third proportional to 52,546 and 62,266 is: 73,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,546 : 62,266 = 62,266 : x
  2. Step 2: Convert to fraction form
    52,546/62,266 = 62,266/x
  3. Step 3: Cross multiply
    52,546x = 62,266 × 62,266
  4. Step 4: Simplify right side
    52,546x = 3,877,054,756
  5. Step 5: Solve for x
    x = 3,877,054,756/52,546
  6. Step 6: Final answer
    x = 73,784.01

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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.