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Finding the Third Proportional to 22,714 and 49,030

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Solution

The third proportional to 22,714 and 49,030 is: 105,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714 : 49,030 = 49,030 : x
  2. Step 2: Convert to fraction form
    22,714/49,030 = 49,030/x
  3. Step 3: Cross multiply
    22,714x = 49,030 × 49,030
  4. Step 4: Simplify right side
    22,714x = 2,403,940,900
  5. Step 5: Solve for x
    x = 2,403,940,900/22,714
  6. Step 6: Final answer
    x = 105,835.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.