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Finding the Third Proportional to 35,248 and 73,408

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Solution

The third proportional to 35,248 and 73,408 is: 152,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,248 : 73,408 = 73,408 : x
  2. Step 2: Convert to fraction form
    35,248/73,408 = 73,408/x
  3. Step 3: Cross multiply
    35,248x = 73,408 × 73,408
  4. Step 4: Simplify right side
    35,248x = 5,388,734,464
  5. Step 5: Solve for x
    x = 5,388,734,464/35,248
  6. Step 6: Final answer
    x = 152,880.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.