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Finding the Third Proportional to 36,461 and 52,138

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Solution

The third proportional to 36,461 and 52,138 is: 74,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461 : 52,138 = 52,138 : x
  2. Step 2: Convert to fraction form
    36,461/52,138 = 52,138/x
  3. Step 3: Cross multiply
    36,461x = 52,138 × 52,138
  4. Step 4: Simplify right side
    36,461x = 2,718,371,044
  5. Step 5: Solve for x
    x = 2,718,371,044/36,461
  6. Step 6: Final answer
    x = 74,555.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.