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Finding the Third Proportional to 49,462 and 74,289

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Solution

The third proportional to 49,462 and 74,289 is: 111,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462 : 74,289 = 74,289 : x
  2. Step 2: Convert to fraction form
    49,462/74,289 = 74,289/x
  3. Step 3: Cross multiply
    49,462x = 74,289 × 74,289
  4. Step 4: Simplify right side
    49,462x = 5,518,855,521
  5. Step 5: Solve for x
    x = 5,518,855,521/49,462
  6. Step 6: Final answer
    x = 111,577.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.