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Finding the Third Proportional to 8,623.13 and 16,036.31

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Solution

The third proportional to 8,623.13 and 16,036.31 is: 29,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.13 : 16,036.31 = 16,036.31 : x
  2. Step 2: Convert to fraction form
    8,623.13/16,036.31 = 16,036.31/x
  3. Step 3: Cross multiply
    8,623.13x = 16,036.31 × 16,036.31
  4. Step 4: Simplify right side
    8,623.13x = 257,163,318.60
  5. Step 5: Solve for x
    x = 257,163,318.60/8,623.13
  6. Step 6: Final answer
    x = 29,822.52

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.