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Finding the Third Proportional to 6,308.63 and 9,753.94

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Solution

The third proportional to 6,308.63 and 9,753.94 is: 15,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.63 : 9,753.94 = 9,753.94 : x
  2. Step 2: Convert to fraction form
    6,308.63/9,753.94 = 9,753.94/x
  3. Step 3: Cross multiply
    6,308.63x = 9,753.94 × 9,753.94
  4. Step 4: Simplify right side
    6,308.63x = 95,139,296.75
  5. Step 5: Solve for x
    x = 95,139,296.75/6,308.63
  6. Step 6: Final answer
    x = 15,080.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.