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Finding the Third Proportional to 19,953.84 and 29,933.93

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Solution

The third proportional to 19,953.84 and 29,933.93 is: 44,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.84 : 29,933.93 = 29,933.93 : x
  2. Step 2: Convert to fraction form
    19,953.84/29,933.93 = 29,933.93/x
  3. Step 3: Cross multiply
    19,953.84x = 29,933.93 × 29,933.93
  4. Step 4: Simplify right side
    19,953.84x = 896,040,146.54
  5. Step 5: Solve for x
    x = 896,040,146.54/19,953.84
  6. Step 6: Final answer
    x = 44,905.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.