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Finding the Third Proportional to 6,390.75 and 9,809.25

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Solution

The third proportional to 6,390.75 and 9,809.25 is: 15,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.75 : 9,809.25 = 9,809.25 : x
  2. Step 2: Convert to fraction form
    6,390.75/9,809.25 = 9,809.25/x
  3. Step 3: Cross multiply
    6,390.75x = 9,809.25 × 9,809.25
  4. Step 4: Simplify right side
    6,390.75x = 96,221,385.56
  5. Step 5: Solve for x
    x = 96,221,385.56/6,390.75
  6. Step 6: Final answer
    x = 15,056.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.