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Finding the Third Proportional to 12,334.50 and 23,859

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Solution

The third proportional to 12,334.50 and 23,859 is: 46,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.50 : 23,859 = 23,859 : x
  2. Step 2: Convert to fraction form
    12,334.50/23,859 = 23,859/x
  3. Step 3: Cross multiply
    12,334.50x = 23,859 × 23,859
  4. Step 4: Simplify right side
    12,334.50x = 569,251,881
  5. Step 5: Solve for x
    x = 569,251,881/12,334.50
  6. Step 6: Final answer
    x = 46,151.19

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.