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Finding the Third Proportional to 4,923.38 and 7,385.06

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Solution

The third proportional to 4,923.38 and 7,385.06 is: 11,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.38 : 7,385.06 = 7,385.06 : x
  2. Step 2: Convert to fraction form
    4,923.38/7,385.06 = 7,385.06/x
  3. Step 3: Cross multiply
    4,923.38x = 7,385.06 × 7,385.06
  4. Step 4: Simplify right side
    4,923.38x = 54,539,148.13
  5. Step 5: Solve for x
    x = 54,539,148.13/4,923.38
  6. Step 6: Final answer
    x = 11,077.59

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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.