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Finding the Third Proportional to 20,913.19 and 45,972.56

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Solution

The third proportional to 20,913.19 and 45,972.56 is: 101,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,913.19 : 45,972.56 = 45,972.56 : x
  2. Step 2: Convert to fraction form
    20,913.19/45,972.56 = 45,972.56/x
  3. Step 3: Cross multiply
    20,913.19x = 45,972.56 × 45,972.56
  4. Step 4: Simplify right side
    20,913.19x = 2,113,476,502.82
  5. Step 5: Solve for x
    x = 2,113,476,502.82/20,913.19
  6. Step 6: Final answer
    x = 101,059.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.