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Finding the Third Proportional to 3,347.81 and 4,782.56

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Solution

The third proportional to 3,347.81 and 4,782.56 is: 6,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.81 : 4,782.56 = 4,782.56 : x
  2. Step 2: Convert to fraction form
    3,347.81/4,782.56 = 4,782.56/x
  3. Step 3: Cross multiply
    3,347.81x = 4,782.56 × 4,782.56
  4. Step 4: Simplify right side
    3,347.81x = 22,872,904.07
  5. Step 5: Solve for x
    x = 22,872,904.07/3,347.81
  6. Step 6: Final answer
    x = 6,832.19

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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.