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Finding the Third Proportional to 9,894.66 and 20,605.64

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Solution

The third proportional to 9,894.66 and 20,605.64 is: 42,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.66 : 20,605.64 = 20,605.64 : x
  2. Step 2: Convert to fraction form
    9,894.66/20,605.64 = 20,605.64/x
  3. Step 3: Cross multiply
    9,894.66x = 20,605.64 × 20,605.64
  4. Step 4: Simplify right side
    9,894.66x = 424,592,425.57
  5. Step 5: Solve for x
    x = 424,592,425.57/9,894.66
  6. Step 6: Final answer
    x = 42,911.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.