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Finding the Third Proportional to 3,098.63 and 6,761.25

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Solution

The third proportional to 3,098.63 and 6,761.25 is: 14,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.63 : 6,761.25 = 6,761.25 : x
  2. Step 2: Convert to fraction form
    3,098.63/6,761.25 = 6,761.25/x
  3. Step 3: Cross multiply
    3,098.63x = 6,761.25 × 6,761.25
  4. Step 4: Simplify right side
    3,098.63x = 45,714,501.56
  5. Step 5: Solve for x
    x = 45,714,501.56/3,098.63
  6. Step 6: Final answer
    x = 14,753.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.