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Finding the Third Proportional to 48,780 and 66,258

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Solution

The third proportional to 48,780 and 66,258 is: 89,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,780 : 66,258 = 66,258 : x
  2. Step 2: Convert to fraction form
    48,780/66,258 = 66,258/x
  3. Step 3: Cross multiply
    48,780x = 66,258 × 66,258
  4. Step 4: Simplify right side
    48,780x = 4,390,122,564
  5. Step 5: Solve for x
    x = 4,390,122,564/48,780
  6. Step 6: Final answer
    x = 89,998.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.