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Finding the Third Proportional to 6,955.03 and 10,785.66

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Solution

The third proportional to 6,955.03 and 10,785.66 is: 16,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.03 : 10,785.66 = 10,785.66 : x
  2. Step 2: Convert to fraction form
    6,955.03/10,785.66 = 10,785.66/x
  3. Step 3: Cross multiply
    6,955.03x = 10,785.66 × 10,785.66
  4. Step 4: Simplify right side
    6,955.03x = 116,330,380.74
  5. Step 5: Solve for x
    x = 116,330,380.74/6,955.03
  6. Step 6: Final answer
    x = 16,726.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.