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Finding the Third Proportional to 46,110 and 69,589

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Solution

The third proportional to 46,110 and 69,589 is: 105,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,110 : 69,589 = 69,589 : x
  2. Step 2: Convert to fraction form
    46,110/69,589 = 69,589/x
  3. Step 3: Cross multiply
    46,110x = 69,589 × 69,589
  4. Step 4: Simplify right side
    46,110x = 4,842,628,921
  5. Step 5: Solve for x
    x = 4,842,628,921/46,110
  6. Step 6: Final answer
    x = 105,023.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.