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Finding the Third Proportional to 24,266 and 34,248

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Solution

The third proportional to 24,266 and 34,248 is: 48,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266 : 34,248 = 34,248 : x
  2. Step 2: Convert to fraction form
    24,266/34,248 = 34,248/x
  3. Step 3: Cross multiply
    24,266x = 34,248 × 34,248
  4. Step 4: Simplify right side
    24,266x = 1,172,925,504
  5. Step 5: Solve for x
    x = 1,172,925,504/24,266
  6. Step 6: Final answer
    x = 48,336.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.