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Finding the Third Proportional to 6,874.50 and 15,062.63

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Solution

The third proportional to 6,874.50 and 15,062.63 is: 33,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.50 : 15,062.63 = 15,062.63 : x
  2. Step 2: Convert to fraction form
    6,874.50/15,062.63 = 15,062.63/x
  3. Step 3: Cross multiply
    6,874.50x = 15,062.63 × 15,062.63
  4. Step 4: Simplify right side
    6,874.50x = 226,882,671.89
  5. Step 5: Solve for x
    x = 226,882,671.89/6,874.50
  6. Step 6: Final answer
    x = 33,003.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.