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Finding the Third Proportional to 27,282 and 37,032

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Solution

The third proportional to 27,282 and 37,032 is: 50,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282 : 37,032 = 37,032 : x
  2. Step 2: Convert to fraction form
    27,282/37,032 = 37,032/x
  3. Step 3: Cross multiply
    27,282x = 37,032 × 37,032
  4. Step 4: Simplify right side
    27,282x = 1,371,369,024
  5. Step 5: Solve for x
    x = 1,371,369,024/27,282
  6. Step 6: Final answer
    x = 50,266.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.