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Finding the Third Proportional to 23,038 and 49,617

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Solution

The third proportional to 23,038 and 49,617 is: 106,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038 : 49,617 = 49,617 : x
  2. Step 2: Convert to fraction form
    23,038/49,617 = 49,617/x
  3. Step 3: Cross multiply
    23,038x = 49,617 × 49,617
  4. Step 4: Simplify right side
    23,038x = 2,461,846,689
  5. Step 5: Solve for x
    x = 2,461,846,689/23,038
  6. Step 6: Final answer
    x = 106,860.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.