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Finding the Third Proportional to 8,039.25 and 16,898.63

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Solution

The third proportional to 8,039.25 and 16,898.63 is: 35,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.25 : 16,898.63 = 16,898.63 : x
  2. Step 2: Convert to fraction form
    8,039.25/16,898.63 = 16,898.63/x
  3. Step 3: Cross multiply
    8,039.25x = 16,898.63 × 16,898.63
  4. Step 4: Simplify right side
    8,039.25x = 285,563,526.89
  5. Step 5: Solve for x
    x = 285,563,526.89/8,039.25
  6. Step 6: Final answer
    x = 35,521.17

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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.