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Finding the Third Proportional to 5,314.50 and 11,306.25

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Solution

The third proportional to 5,314.50 and 11,306.25 is: 24,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.50 : 11,306.25 = 11,306.25 : x
  2. Step 2: Convert to fraction form
    5,314.50/11,306.25 = 11,306.25/x
  3. Step 3: Cross multiply
    5,314.50x = 11,306.25 × 11,306.25
  4. Step 4: Simplify right side
    5,314.50x = 127,831,289.06
  5. Step 5: Solve for x
    x = 127,831,289.06/5,314.50
  6. Step 6: Final answer
    x = 24,053.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.