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Finding the Third Proportional to 9,846.14 and 21,605.77

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Solution

The third proportional to 9,846.14 and 21,605.77 is: 47,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.14 : 21,605.77 = 21,605.77 : x
  2. Step 2: Convert to fraction form
    9,846.14/21,605.77 = 21,605.77/x
  3. Step 3: Cross multiply
    9,846.14x = 21,605.77 × 21,605.77
  4. Step 4: Simplify right side
    9,846.14x = 466,809,108.24
  5. Step 5: Solve for x
    x = 466,809,108.24/9,846.14
  6. Step 6: Final answer
    x = 47,410.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.