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Finding the Third Proportional to 11,062 and 23,258

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Solution

The third proportional to 11,062 and 23,258 is: 48,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,062 : 23,258 = 23,258 : x
  2. Step 2: Convert to fraction form
    11,062/23,258 = 23,258/x
  3. Step 3: Cross multiply
    11,062x = 23,258 × 23,258
  4. Step 4: Simplify right side
    11,062x = 540,934,564
  5. Step 5: Solve for x
    x = 540,934,564/11,062
  6. Step 6: Final answer
    x = 48,900.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.