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Finding the Third Proportional to 6,909.03 and 14,803.81

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Solution

The third proportional to 6,909.03 and 14,803.81 is: 31,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.03 : 14,803.81 = 14,803.81 : x
  2. Step 2: Convert to fraction form
    6,909.03/14,803.81 = 14,803.81/x
  3. Step 3: Cross multiply
    6,909.03x = 14,803.81 × 14,803.81
  4. Step 4: Simplify right side
    6,909.03x = 219,152,864.54
  5. Step 5: Solve for x
    x = 219,152,864.54/6,909.03
  6. Step 6: Final answer
    x = 31,719.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.