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Finding the Third Proportional to 15,729.75 and 23,954.63

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Solution

The third proportional to 15,729.75 and 23,954.63 is: 36,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.75 : 23,954.63 = 23,954.63 : x
  2. Step 2: Convert to fraction form
    15,729.75/23,954.63 = 23,954.63/x
  3. Step 3: Cross multiply
    15,729.75x = 23,954.63 × 23,954.63
  4. Step 4: Simplify right side
    15,729.75x = 573,824,058.89
  5. Step 5: Solve for x
    x = 573,824,058.89/15,729.75
  6. Step 6: Final answer
    x = 36,480.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.