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Finding the Third Proportional to 4,715.72 and 5,904.14

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Solution

The third proportional to 4,715.72 and 5,904.14 is: 7,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.72 : 5,904.14 = 5,904.14 : x
  2. Step 2: Convert to fraction form
    4,715.72/5,904.14 = 5,904.14/x
  3. Step 3: Cross multiply
    4,715.72x = 5,904.14 × 5,904.14
  4. Step 4: Simplify right side
    4,715.72x = 34,858,876.52
  5. Step 5: Solve for x
    x = 34,858,876.52/4,715.72
  6. Step 6: Final answer
    x = 7,392.06

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.