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Finding the Third Proportional to 5,921.23 and 12,956.20

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Solution

The third proportional to 5,921.23 and 12,956.20 is: 28,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.23 : 12,956.20 = 12,956.20 : x
  2. Step 2: Convert to fraction form
    5,921.23/12,956.20 = 12,956.20/x
  3. Step 3: Cross multiply
    5,921.23x = 12,956.20 × 12,956.20
  4. Step 4: Simplify right side
    5,921.23x = 167,863,199.42
  5. Step 5: Solve for x
    x = 167,863,199.42/5,921.23
  6. Step 6: Final answer
    x = 28,349.40

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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.