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Finding the Third Proportional to 36,258 and 54,216

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Solution

The third proportional to 36,258 and 54,216 is: 81,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,258 : 54,216 = 54,216 : x
  2. Step 2: Convert to fraction form
    36,258/54,216 = 54,216/x
  3. Step 3: Cross multiply
    36,258x = 54,216 × 54,216
  4. Step 4: Simplify right side
    36,258x = 2,939,374,656
  5. Step 5: Solve for x
    x = 2,939,374,656/36,258
  6. Step 6: Final answer
    x = 81,068.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.