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Finding the Third Proportional to 14,721.75 and 34,728.75

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Solution

The third proportional to 14,721.75 and 34,728.75 is: 81,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721.75 : 34,728.75 = 34,728.75 : x
  2. Step 2: Convert to fraction form
    14,721.75/34,728.75 = 34,728.75/x
  3. Step 3: Cross multiply
    14,721.75x = 34,728.75 × 34,728.75
  4. Step 4: Simplify right side
    14,721.75x = 1,206,086,076.56
  5. Step 5: Solve for x
    x = 1,206,086,076.56/14,721.75
  6. Step 6: Final answer
    x = 81,925.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.