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Finding the Third Proportional to 10,846.13 and 22,816.13

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Solution

The third proportional to 10,846.13 and 22,816.13 is: 47,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.13 : 22,816.13 = 22,816.13 : x
  2. Step 2: Convert to fraction form
    10,846.13/22,816.13 = 22,816.13/x
  3. Step 3: Cross multiply
    10,846.13x = 22,816.13 × 22,816.13
  4. Step 4: Simplify right side
    10,846.13x = 520,575,560.02
  5. Step 5: Solve for x
    x = 520,575,560.02/10,846.13
  6. Step 6: Final answer
    x = 47,996.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.