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Finding the Third Proportional to 5,312.67 and 11,009.25

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Solution

The third proportional to 5,312.67 and 11,009.25 is: 22,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.67 : 11,009.25 = 11,009.25 : x
  2. Step 2: Convert to fraction form
    5,312.67/11,009.25 = 11,009.25/x
  3. Step 3: Cross multiply
    5,312.67x = 11,009.25 × 11,009.25
  4. Step 4: Simplify right side
    5,312.67x = 121,203,585.56
  5. Step 5: Solve for x
    x = 121,203,585.56/5,312.67
  6. Step 6: Final answer
    x = 22,814.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.