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Finding the Third Proportional to 24,185 and 34,252

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Solution

The third proportional to 24,185 and 34,252 is: 48,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185 : 34,252 = 34,252 : x
  2. Step 2: Convert to fraction form
    24,185/34,252 = 34,252/x
  3. Step 3: Cross multiply
    24,185x = 34,252 × 34,252
  4. Step 4: Simplify right side
    24,185x = 1,173,199,504
  5. Step 5: Solve for x
    x = 1,173,199,504/24,185
  6. Step 6: Final answer
    x = 48,509.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.