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Finding the Third Proportional to 29,548 and 44,322

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Solution

The third proportional to 29,548 and 44,322 is: 66,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548 : 44,322 = 44,322 : x
  2. Step 2: Convert to fraction form
    29,548/44,322 = 44,322/x
  3. Step 3: Cross multiply
    29,548x = 44,322 × 44,322
  4. Step 4: Simplify right side
    29,548x = 1,964,439,684
  5. Step 5: Solve for x
    x = 1,964,439,684/29,548
  6. Step 6: Final answer
    x = 66,483

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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.