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Finding the Third Proportional to 7,023.38 and 10,563.75

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Solution

The third proportional to 7,023.38 and 10,563.75 is: 15,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.38 : 10,563.75 = 10,563.75 : x
  2. Step 2: Convert to fraction form
    7,023.38/10,563.75 = 10,563.75/x
  3. Step 3: Cross multiply
    7,023.38x = 10,563.75 × 10,563.75
  4. Step 4: Simplify right side
    7,023.38x = 111,592,814.06
  5. Step 5: Solve for x
    x = 111,592,814.06/7,023.38
  6. Step 6: Final answer
    x = 15,888.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.