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Finding the Third Proportional to 6,050.81 and 12,655.69

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Solution

The third proportional to 6,050.81 and 12,655.69 is: 26,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050.81 : 12,655.69 = 12,655.69 : x
  2. Step 2: Convert to fraction form
    6,050.81/12,655.69 = 12,655.69/x
  3. Step 3: Cross multiply
    6,050.81x = 12,655.69 × 12,655.69
  4. Step 4: Simplify right side
    6,050.81x = 160,166,426.10
  5. Step 5: Solve for x
    x = 160,166,426.10/6,050.81
  6. Step 6: Final answer
    x = 26,470.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.