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Finding the Third Proportional to 23,850 and 52,476

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Solution

The third proportional to 23,850 and 52,476 is: 115,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850 : 52,476 = 52,476 : x
  2. Step 2: Convert to fraction form
    23,850/52,476 = 52,476/x
  3. Step 3: Cross multiply
    23,850x = 52,476 × 52,476
  4. Step 4: Simplify right side
    23,850x = 2,753,730,576
  5. Step 5: Solve for x
    x = 2,753,730,576/23,850
  6. Step 6: Final answer
    x = 115,460.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.