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Finding the Third Proportional to 5,864.06 and 12,814.03

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Solution

The third proportional to 5,864.06 and 12,814.03 is: 28,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.06 : 12,814.03 = 12,814.03 : x
  2. Step 2: Convert to fraction form
    5,864.06/12,814.03 = 12,814.03/x
  3. Step 3: Cross multiply
    5,864.06x = 12,814.03 × 12,814.03
  4. Step 4: Simplify right side
    5,864.06x = 164,199,396.88
  5. Step 5: Solve for x
    x = 164,199,396.88/5,864.06
  6. Step 6: Final answer
    x = 28,000.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.