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Finding the Third Proportional to 9,738.98 and 21,464.21

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Solution

The third proportional to 9,738.98 and 21,464.21 is: 47,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.98 : 21,464.21 = 21,464.21 : x
  2. Step 2: Convert to fraction form
    9,738.98/21,464.21 = 21,464.21/x
  3. Step 3: Cross multiply
    9,738.98x = 21,464.21 × 21,464.21
  4. Step 4: Simplify right side
    9,738.98x = 460,712,267.32
  5. Step 5: Solve for x
    x = 460,712,267.32/9,738.98
  6. Step 6: Final answer
    x = 47,305.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.