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Finding the Third Proportional to 24,322 and 34,778

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Solution

The third proportional to 24,322 and 34,778 is: 49,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322 : 34,778 = 34,778 : x
  2. Step 2: Convert to fraction form
    24,322/34,778 = 34,778/x
  3. Step 3: Cross multiply
    24,322x = 34,778 × 34,778
  4. Step 4: Simplify right side
    24,322x = 1,209,509,284
  5. Step 5: Solve for x
    x = 1,209,509,284/24,322
  6. Step 6: Final answer
    x = 49,729.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.