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Finding the Third Proportional to 4,182.47 and 6,116.34

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Solution

The third proportional to 4,182.47 and 6,116.34 is: 8,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.47 : 6,116.34 = 6,116.34 : x
  2. Step 2: Convert to fraction form
    4,182.47/6,116.34 = 6,116.34/x
  3. Step 3: Cross multiply
    4,182.47x = 6,116.34 × 6,116.34
  4. Step 4: Simplify right side
    4,182.47x = 37,409,660.87
  5. Step 5: Solve for x
    x = 37,409,660.87/4,182.47
  6. Step 6: Final answer
    x = 8,944.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.