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Finding the Third Proportional to 29,248 and 42,544

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Solution

The third proportional to 29,248 and 42,544 is: 61,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,248 : 42,544 = 42,544 : x
  2. Step 2: Convert to fraction form
    29,248/42,544 = 42,544/x
  3. Step 3: Cross multiply
    29,248x = 42,544 × 42,544
  4. Step 4: Simplify right side
    29,248x = 1,809,991,936
  5. Step 5: Solve for x
    x = 1,809,991,936/29,248
  6. Step 6: Final answer
    x = 61,884.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.