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Finding the Third Proportional to 4,561.31 and 6,480.84

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Solution

The third proportional to 4,561.31 and 6,480.84 is: 9,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.31 : 6,480.84 = 6,480.84 : x
  2. Step 2: Convert to fraction form
    4,561.31/6,480.84 = 6,480.84/x
  3. Step 3: Cross multiply
    4,561.31x = 6,480.84 × 6,480.84
  4. Step 4: Simplify right side
    4,561.31x = 42,001,335.71
  5. Step 5: Solve for x
    x = 42,001,335.71/4,561.31
  6. Step 6: Final answer
    x = 9,208.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.