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Finding the Third Proportional to 19,935 and 30,601.13

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Solution

The third proportional to 19,935 and 30,601.13 is: 46,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,935 : 30,601.13 = 30,601.13 : x
  2. Step 2: Convert to fraction form
    19,935/30,601.13 = 30,601.13/x
  3. Step 3: Cross multiply
    19,935x = 30,601.13 × 30,601.13
  4. Step 4: Simplify right side
    19,935x = 936,428,851.27
  5. Step 5: Solve for x
    x = 936,428,851.27/19,935
  6. Step 6: Final answer
    x = 46,974.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.