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Finding the Third Proportional to 6,184.13 and 14,947.59

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Solution

The third proportional to 6,184.13 and 14,947.59 is: 36,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.13 : 14,947.59 = 14,947.59 : x
  2. Step 2: Convert to fraction form
    6,184.13/14,947.59 = 14,947.59/x
  3. Step 3: Cross multiply
    6,184.13x = 14,947.59 × 14,947.59
  4. Step 4: Simplify right side
    6,184.13x = 223,430,558.92
  5. Step 5: Solve for x
    x = 223,430,558.92/6,184.13
  6. Step 6: Final answer
    x = 36,129.70

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.