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Finding the Third Proportional to 9,709.88 and 16,856.44

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Solution

The third proportional to 9,709.88 and 16,856.44 is: 29,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.88 : 16,856.44 = 16,856.44 : x
  2. Step 2: Convert to fraction form
    9,709.88/16,856.44 = 16,856.44/x
  3. Step 3: Cross multiply
    9,709.88x = 16,856.44 × 16,856.44
  4. Step 4: Simplify right side
    9,709.88x = 284,139,485.19
  5. Step 5: Solve for x
    x = 284,139,485.19/9,709.88
  6. Step 6: Final answer
    x = 29,262.94

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.