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Finding the Third Proportional to 7,514 and 16,134.50

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Solution

The third proportional to 7,514 and 16,134.50 is: 34,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 16,134.50 = 16,134.50 : x
  2. Step 2: Convert to fraction form
    7,514/16,134.50 = 16,134.50/x
  3. Step 3: Cross multiply
    7,514x = 16,134.50 × 16,134.50
  4. Step 4: Simplify right side
    7,514x = 260,322,090.25
  5. Step 5: Solve for x
    x = 260,322,090.25/7,514
  6. Step 6: Final answer
    x = 34,644.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.