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Finding the Third Proportional to 22,582 and 49,658

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Solution

The third proportional to 22,582 and 49,658 is: 109,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582 : 49,658 = 49,658 : x
  2. Step 2: Convert to fraction form
    22,582/49,658 = 49,658/x
  3. Step 3: Cross multiply
    22,582x = 49,658 × 49,658
  4. Step 4: Simplify right side
    22,582x = 2,465,916,964
  5. Step 5: Solve for x
    x = 2,465,916,964/22,582
  6. Step 6: Final answer
    x = 109,198.34

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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.