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Finding the Third Proportional to 9,712.69 and 21,466.97

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Solution

The third proportional to 9,712.69 and 21,466.97 is: 47,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.69 : 21,466.97 = 21,466.97 : x
  2. Step 2: Convert to fraction form
    9,712.69/21,466.97 = 21,466.97/x
  3. Step 3: Cross multiply
    9,712.69x = 21,466.97 × 21,466.97
  4. Step 4: Simplify right side
    9,712.69x = 460,830,747.31
  5. Step 5: Solve for x
    x = 460,830,747.31/9,712.69
  6. Step 6: Final answer
    x = 47,446.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.