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Finding the Third Proportional to 4,647.38 and 7,407.70

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Solution

The third proportional to 4,647.38 and 7,407.70 is: 11,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.38 : 7,407.70 = 7,407.70 : x
  2. Step 2: Convert to fraction form
    4,647.38/7,407.70 = 7,407.70/x
  3. Step 3: Cross multiply
    4,647.38x = 7,407.70 × 7,407.70
  4. Step 4: Simplify right side
    4,647.38x = 54,874,065.59
  5. Step 5: Solve for x
    x = 54,874,065.59/4,647.38
  6. Step 6: Final answer
    x = 11,807.54

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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.