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Finding the Third Proportional to 22,709 and 49,258

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Solution

The third proportional to 22,709 and 49,258 is: 106,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709 : 49,258 = 49,258 : x
  2. Step 2: Convert to fraction form
    22,709/49,258 = 49,258/x
  3. Step 3: Cross multiply
    22,709x = 49,258 × 49,258
  4. Step 4: Simplify right side
    22,709x = 2,426,350,564
  5. Step 5: Solve for x
    x = 2,426,350,564/22,709
  6. Step 6: Final answer
    x = 106,845.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.