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Finding the Third Proportional to 8,007.61 and 16,937.86

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Solution

The third proportional to 8,007.61 and 16,937.86 is: 35,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.61 : 16,937.86 = 16,937.86 : x
  2. Step 2: Convert to fraction form
    8,007.61/16,937.86 = 16,937.86/x
  3. Step 3: Cross multiply
    8,007.61x = 16,937.86 × 16,937.86
  4. Step 4: Simplify right side
    8,007.61x = 286,891,080.21
  5. Step 5: Solve for x
    x = 286,891,080.21/8,007.61
  6. Step 6: Final answer
    x = 35,827.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.