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Finding the Third Proportional to 4,614 and 8,005.13

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Solution

The third proportional to 4,614 and 8,005.13 is: 13,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614 : 8,005.13 = 8,005.13 : x
  2. Step 2: Convert to fraction form
    4,614/8,005.13 = 8,005.13/x
  3. Step 3: Cross multiply
    4,614x = 8,005.13 × 8,005.13
  4. Step 4: Simplify right side
    4,614x = 64,082,026.27
  5. Step 5: Solve for x
    x = 64,082,026.27/4,614
  6. Step 6: Final answer
    x = 13,888.61

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.