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Finding the Third Proportional to 6,173.44 and 9,313.88

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Solution

The third proportional to 6,173.44 and 9,313.88 is: 14,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.44 : 9,313.88 = 9,313.88 : x
  2. Step 2: Convert to fraction form
    6,173.44/9,313.88 = 9,313.88/x
  3. Step 3: Cross multiply
    6,173.44x = 9,313.88 × 9,313.88
  4. Step 4: Simplify right side
    6,173.44x = 86,748,267.52
  5. Step 5: Solve for x
    x = 86,748,267.52/6,173.44
  6. Step 6: Final answer
    x = 14,051.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.