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Finding the Third Proportional to 9,807.75 and 22,190.63

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Solution

The third proportional to 9,807.75 and 22,190.63 is: 50,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.75 : 22,190.63 = 22,190.63 : x
  2. Step 2: Convert to fraction form
    9,807.75/22,190.63 = 22,190.63/x
  3. Step 3: Cross multiply
    9,807.75x = 22,190.63 × 22,190.63
  4. Step 4: Simplify right side
    9,807.75x = 492,423,837.89
  5. Step 5: Solve for x
    x = 492,423,837.89/9,807.75
  6. Step 6: Final answer
    x = 50,207.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.