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Finding the Third Proportional to 23,047 and 49,597

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Solution

The third proportional to 23,047 and 49,597 is: 106,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047 : 49,597 = 49,597 : x
  2. Step 2: Convert to fraction form
    23,047/49,597 = 49,597/x
  3. Step 3: Cross multiply
    23,047x = 49,597 × 49,597
  4. Step 4: Simplify right side
    23,047x = 2,459,862,409
  5. Step 5: Solve for x
    x = 2,459,862,409/23,047
  6. Step 6: Final answer
    x = 106,732.43

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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.