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Finding the Third Proportional to 4,865.06 and 9,859.22

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Solution

The third proportional to 4,865.06 and 9,859.22 is: 19,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.06 : 9,859.22 = 9,859.22 : x
  2. Step 2: Convert to fraction form
    4,865.06/9,859.22 = 9,859.22/x
  3. Step 3: Cross multiply
    4,865.06x = 9,859.22 × 9,859.22
  4. Step 4: Simplify right side
    4,865.06x = 97,204,194.36
  5. Step 5: Solve for x
    x = 97,204,194.36/4,865.06
  6. Step 6: Final answer
    x = 19,980.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.