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Finding the Third Proportional to 24,827 and 52,207

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Solution

The third proportional to 24,827 and 52,207 is: 109,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827 : 52,207 = 52,207 : x
  2. Step 2: Convert to fraction form
    24,827/52,207 = 52,207/x
  3. Step 3: Cross multiply
    24,827x = 52,207 × 52,207
  4. Step 4: Simplify right side
    24,827x = 2,725,570,849
  5. Step 5: Solve for x
    x = 2,725,570,849/24,827
  6. Step 6: Final answer
    x = 109,782.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.