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Finding the Third Proportional to 5,853 and 13,624.50

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Solution

The third proportional to 5,853 and 13,624.50 is: 31,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853 : 13,624.50 = 13,624.50 : x
  2. Step 2: Convert to fraction form
    5,853/13,624.50 = 13,624.50/x
  3. Step 3: Cross multiply
    5,853x = 13,624.50 × 13,624.50
  4. Step 4: Simplify right side
    5,853x = 185,627,000.25
  5. Step 5: Solve for x
    x = 185,627,000.25/5,853
  6. Step 6: Final answer
    x = 31,714.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.