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Finding the Third Proportional to 7,941.80 and 16,939.13

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Solution

The third proportional to 7,941.80 and 16,939.13 is: 36,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.80 : 16,939.13 = 16,939.13 : x
  2. Step 2: Convert to fraction form
    7,941.80/16,939.13 = 16,939.13/x
  3. Step 3: Cross multiply
    7,941.80x = 16,939.13 × 16,939.13
  4. Step 4: Simplify right side
    7,941.80x = 286,933,955.77
  5. Step 5: Solve for x
    x = 286,933,955.77/7,941.80
  6. Step 6: Final answer
    x = 36,129.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.