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Finding the Third Proportional to 4,670 and 7,405

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Solution

The third proportional to 4,670 and 7,405 is: 11,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670 : 7,405 = 7,405 : x
  2. Step 2: Convert to fraction form
    4,670/7,405 = 7,405/x
  3. Step 3: Cross multiply
    4,670x = 7,405 × 7,405
  4. Step 4: Simplify right side
    4,670x = 54,834,025
  5. Step 5: Solve for x
    x = 54,834,025/4,670
  6. Step 6: Final answer
    x = 11,741.76

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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.