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Finding the Third Proportional to 27,683 and 40,601

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Solution

The third proportional to 27,683 and 40,601 is: 59,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683 : 40,601 = 40,601 : x
  2. Step 2: Convert to fraction form
    27,683/40,601 = 40,601/x
  3. Step 3: Cross multiply
    27,683x = 40,601 × 40,601
  4. Step 4: Simplify right side
    27,683x = 1,648,441,201
  5. Step 5: Solve for x
    x = 1,648,441,201/27,683
  6. Step 6: Final answer
    x = 59,547.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.