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Finding the Third Proportional to 4,053 and 5,924.25

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Solution

The third proportional to 4,053 and 5,924.25 is: 8,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053 : 5,924.25 = 5,924.25 : x
  2. Step 2: Convert to fraction form
    4,053/5,924.25 = 5,924.25/x
  3. Step 3: Cross multiply
    4,053x = 5,924.25 × 5,924.25
  4. Step 4: Simplify right side
    4,053x = 35,096,738.06
  5. Step 5: Solve for x
    x = 35,096,738.06/4,053
  6. Step 6: Final answer
    x = 8,659.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.