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Finding the Third Proportional to 10,278 and 24,252

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Solution

The third proportional to 10,278 and 24,252 is: 57,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 24,252 = 24,252 : x
  2. Step 2: Convert to fraction form
    10,278/24,252 = 24,252/x
  3. Step 3: Cross multiply
    10,278x = 24,252 × 24,252
  4. Step 4: Simplify right side
    10,278x = 588,159,504
  5. Step 5: Solve for x
    x = 588,159,504/10,278
  6. Step 6: Final answer
    x = 57,225.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.