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Finding the Third Proportional to 39,924 and 76,752

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Solution

The third proportional to 39,924 and 76,752 is: 147,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,924 : 76,752 = 76,752 : x
  2. Step 2: Convert to fraction form
    39,924/76,752 = 76,752/x
  3. Step 3: Cross multiply
    39,924x = 76,752 × 76,752
  4. Step 4: Simplify right side
    39,924x = 5,890,869,504
  5. Step 5: Solve for x
    x = 5,890,869,504/39,924
  6. Step 6: Final answer
    x = 147,552.09

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.