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Finding the Third Proportional to 4,923.91 and 7,368.47

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Solution

The third proportional to 4,923.91 and 7,368.47 is: 11,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.91 : 7,368.47 = 7,368.47 : x
  2. Step 2: Convert to fraction form
    4,923.91/7,368.47 = 7,368.47/x
  3. Step 3: Cross multiply
    4,923.91x = 7,368.47 × 7,368.47
  4. Step 4: Simplify right side
    4,923.91x = 54,294,331.72
  5. Step 5: Solve for x
    x = 54,294,331.72/4,923.91
  6. Step 6: Final answer
    x = 11,026.66

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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.