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Finding the Third Proportional to 22,730 and 48,698

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Solution

The third proportional to 22,730 and 48,698 is: 104,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730 : 48,698 = 48,698 : x
  2. Step 2: Convert to fraction form
    22,730/48,698 = 48,698/x
  3. Step 3: Cross multiply
    22,730x = 48,698 × 48,698
  4. Step 4: Simplify right side
    22,730x = 2,371,495,204
  5. Step 5: Solve for x
    x = 2,371,495,204/22,730
  6. Step 6: Final answer
    x = 104,333.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.