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Finding the Third Proportional to 32,778 and 49,477

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Solution

The third proportional to 32,778 and 49,477 is: 74,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778 : 49,477 = 49,477 : x
  2. Step 2: Convert to fraction form
    32,778/49,477 = 49,477/x
  3. Step 3: Cross multiply
    32,778x = 49,477 × 49,477
  4. Step 4: Simplify right side
    32,778x = 2,447,973,529
  5. Step 5: Solve for x
    x = 2,447,973,529/32,778
  6. Step 6: Final answer
    x = 74,683.43

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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.