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Finding the Third Proportional to 40,728 and 61,413

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Solution

The third proportional to 40,728 and 61,413 is: 92,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,728 : 61,413 = 61,413 : x
  2. Step 2: Convert to fraction form
    40,728/61,413 = 61,413/x
  3. Step 3: Cross multiply
    40,728x = 61,413 × 61,413
  4. Step 4: Simplify right side
    40,728x = 3,771,556,569
  5. Step 5: Solve for x
    x = 3,771,556,569/40,728
  6. Step 6: Final answer
    x = 92,603.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.