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Finding the Third Proportional to 4,579.03 and 7,284.30

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Solution

The third proportional to 4,579.03 and 7,284.30 is: 11,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.03 : 7,284.30 = 7,284.30 : x
  2. Step 2: Convert to fraction form
    4,579.03/7,284.30 = 7,284.30/x
  3. Step 3: Cross multiply
    4,579.03x = 7,284.30 × 7,284.30
  4. Step 4: Simplify right side
    4,579.03x = 53,061,094.78
  5. Step 5: Solve for x
    x = 53,061,094.78/4,579.03
  6. Step 6: Final answer
    x = 11,587.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.