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Finding the Third Proportional to 6,309 and 9,053.25

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Solution

The third proportional to 6,309 and 9,053.25 is: 12,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 9,053.25 = 9,053.25 : x
  2. Step 2: Convert to fraction form
    6,309/9,053.25 = 9,053.25/x
  3. Step 3: Cross multiply
    6,309x = 9,053.25 × 9,053.25
  4. Step 4: Simplify right side
    6,309x = 81,961,335.56
  5. Step 5: Solve for x
    x = 81,961,335.56/6,309
  6. Step 6: Final answer
    x = 12,991.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.