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Finding the Third Proportional to 9,794.18 and 21,146.91

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Solution

The third proportional to 9,794.18 and 21,146.91 is: 45,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.18 : 21,146.91 = 21,146.91 : x
  2. Step 2: Convert to fraction form
    9,794.18/21,146.91 = 21,146.91/x
  3. Step 3: Cross multiply
    9,794.18x = 21,146.91 × 21,146.91
  4. Step 4: Simplify right side
    9,794.18x = 447,191,643.95
  5. Step 5: Solve for x
    x = 447,191,643.95/9,794.18
  6. Step 6: Final answer
    x = 45,658.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.