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Finding the Third Proportional to 9,807.88 and 21,234.06

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Solution

The third proportional to 9,807.88 and 21,234.06 is: 45,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.88 : 21,234.06 = 21,234.06 : x
  2. Step 2: Convert to fraction form
    9,807.88/21,234.06 = 21,234.06/x
  3. Step 3: Cross multiply
    9,807.88x = 21,234.06 × 21,234.06
  4. Step 4: Simplify right side
    9,807.88x = 450,885,410.25
  5. Step 5: Solve for x
    x = 450,885,410.25/9,807.88
  6. Step 6: Final answer
    x = 45,971.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.