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Finding the Third Proportional to 22,754 and 49,208

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Solution

The third proportional to 22,754 and 49,208 is: 106,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754 : 49,208 = 49,208 : x
  2. Step 2: Convert to fraction form
    22,754/49,208 = 49,208/x
  3. Step 3: Cross multiply
    22,754x = 49,208 × 49,208
  4. Step 4: Simplify right side
    22,754x = 2,421,427,264
  5. Step 5: Solve for x
    x = 2,421,427,264/22,754
  6. Step 6: Final answer
    x = 106,417.65

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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.