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Finding the Third Proportional to 22,827 and 48,570

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Solution

The third proportional to 22,827 and 48,570 is: 103,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827 : 48,570 = 48,570 : x
  2. Step 2: Convert to fraction form
    22,827/48,570 = 48,570/x
  3. Step 3: Cross multiply
    22,827x = 48,570 × 48,570
  4. Step 4: Simplify right side
    22,827x = 2,359,044,900
  5. Step 5: Solve for x
    x = 2,359,044,900/22,827
  6. Step 6: Final answer
    x = 103,344.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.