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Finding the Third Proportional to 4,822.03 and 10,292.06

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Solution

The third proportional to 4,822.03 and 10,292.06 is: 21,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.03 : 10,292.06 = 10,292.06 : x
  2. Step 2: Convert to fraction form
    4,822.03/10,292.06 = 10,292.06/x
  3. Step 3: Cross multiply
    4,822.03x = 10,292.06 × 10,292.06
  4. Step 4: Simplify right side
    4,822.03x = 105,926,550.50
  5. Step 5: Solve for x
    x = 105,926,550.50/4,822.03
  6. Step 6: Final answer
    x = 21,967.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.