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Finding the Third Proportional to 6,444.56 and 14,139.56

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Solution

The third proportional to 6,444.56 and 14,139.56 is: 31,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.56 : 14,139.56 = 14,139.56 : x
  2. Step 2: Convert to fraction form
    6,444.56/14,139.56 = 14,139.56/x
  3. Step 3: Cross multiply
    6,444.56x = 14,139.56 × 14,139.56
  4. Step 4: Simplify right side
    6,444.56x = 199,927,227.69
  5. Step 5: Solve for x
    x = 199,927,227.69/6,444.56
  6. Step 6: Final answer
    x = 31,022.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.