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Finding the Third Proportional to 4,991.63 and 10,864.13

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Solution

The third proportional to 4,991.63 and 10,864.13 is: 23,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.63 : 10,864.13 = 10,864.13 : x
  2. Step 2: Convert to fraction form
    4,991.63/10,864.13 = 10,864.13/x
  3. Step 3: Cross multiply
    4,991.63x = 10,864.13 × 10,864.13
  4. Step 4: Simplify right side
    4,991.63x = 118,029,212.02
  5. Step 5: Solve for x
    x = 118,029,212.02/4,991.63
  6. Step 6: Final answer
    x = 23,645.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.