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Finding the Third Proportional to 19,413 and 27,330.75

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Solution

The third proportional to 19,413 and 27,330.75 is: 38,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413 : 27,330.75 = 27,330.75 : x
  2. Step 2: Convert to fraction form
    19,413/27,330.75 = 27,330.75/x
  3. Step 3: Cross multiply
    19,413x = 27,330.75 × 27,330.75
  4. Step 4: Simplify right side
    19,413x = 746,969,895.56
  5. Step 5: Solve for x
    x = 746,969,895.56/19,413
  6. Step 6: Final answer
    x = 38,477.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.