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Finding the Third Proportional to 8,045.06 and 16,859.63

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Solution

The third proportional to 8,045.06 and 16,859.63 is: 35,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.06 : 16,859.63 = 16,859.63 : x
  2. Step 2: Convert to fraction form
    8,045.06/16,859.63 = 16,859.63/x
  3. Step 3: Cross multiply
    8,045.06x = 16,859.63 × 16,859.63
  4. Step 4: Simplify right side
    8,045.06x = 284,246,955.14
  5. Step 5: Solve for x
    x = 284,246,955.14/8,045.06
  6. Step 6: Final answer
    x = 35,331.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.