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Finding the Third Proportional to 2,803.50 and 6,062.06

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Solution

The third proportional to 2,803.50 and 6,062.06 is: 13,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.50 : 6,062.06 = 6,062.06 : x
  2. Step 2: Convert to fraction form
    2,803.50/6,062.06 = 6,062.06/x
  3. Step 3: Cross multiply
    2,803.50x = 6,062.06 × 6,062.06
  4. Step 4: Simplify right side
    2,803.50x = 36,748,601.75
  5. Step 5: Solve for x
    x = 36,748,601.75/2,803.50
  6. Step 6: Final answer
    x = 13,108.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.