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Finding the Third Proportional to 9,682.88 and 14,806.13

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Solution

The third proportional to 9,682.88 and 14,806.13 is: 22,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 14,806.13 = 14,806.13 : x
  2. Step 2: Convert to fraction form
    9,682.88/14,806.13 = 14,806.13/x
  3. Step 3: Cross multiply
    9,682.88x = 14,806.13 × 14,806.13
  4. Step 4: Simplify right side
    9,682.88x = 219,221,337.52
  5. Step 5: Solve for x
    x = 219,221,337.52/9,682.88
  6. Step 6: Final answer
    x = 22,640.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.