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Finding the Third Proportional to 8,134.50 and 17,970

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Solution

The third proportional to 8,134.50 and 17,970 is: 39,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.50 : 17,970 = 17,970 : x
  2. Step 2: Convert to fraction form
    8,134.50/17,970 = 17,970/x
  3. Step 3: Cross multiply
    8,134.50x = 17,970 × 17,970
  4. Step 4: Simplify right side
    8,134.50x = 322,920,900
  5. Step 5: Solve for x
    x = 322,920,900/8,134.50
  6. Step 6: Final answer
    x = 39,697.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.