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Finding the Third Proportional to 10,278.75 and 22,015.13

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Solution

The third proportional to 10,278.75 and 22,015.13 is: 47,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.75 : 22,015.13 = 22,015.13 : x
  2. Step 2: Convert to fraction form
    10,278.75/22,015.13 = 22,015.13/x
  3. Step 3: Cross multiply
    10,278.75x = 22,015.13 × 22,015.13
  4. Step 4: Simplify right side
    10,278.75x = 484,665,728.77
  5. Step 5: Solve for x
    x = 484,665,728.77/10,278.75
  6. Step 6: Final answer
    x = 47,152.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.