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Finding the Third Proportional to 5,306.34 and 11,534.06

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Solution

The third proportional to 5,306.34 and 11,534.06 is: 25,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.34 : 11,534.06 = 11,534.06 : x
  2. Step 2: Convert to fraction form
    5,306.34/11,534.06 = 11,534.06/x
  3. Step 3: Cross multiply
    5,306.34x = 11,534.06 × 11,534.06
  4. Step 4: Simplify right side
    5,306.34x = 133,034,597.75
  5. Step 5: Solve for x
    x = 133,034,597.75/5,306.34
  6. Step 6: Final answer
    x = 25,070.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.