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Finding the Third Proportional to 4,579.03 and 7,243.17

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Solution

The third proportional to 4,579.03 and 7,243.17 is: 11,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.03 : 7,243.17 = 7,243.17 : x
  2. Step 2: Convert to fraction form
    4,579.03/7,243.17 = 7,243.17/x
  3. Step 3: Cross multiply
    4,579.03x = 7,243.17 × 7,243.17
  4. Step 4: Simplify right side
    4,579.03x = 52,463,538.81
  5. Step 5: Solve for x
    x = 52,463,538.81/4,579.03
  6. Step 6: Final answer
    x = 11,457.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.