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Finding the Third Proportional to 16,494.19 and 38,897.44

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Solution

The third proportional to 16,494.19 and 38,897.44 is: 91,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.19 : 38,897.44 = 38,897.44 : x
  2. Step 2: Convert to fraction form
    16,494.19/38,897.44 = 38,897.44/x
  3. Step 3: Cross multiply
    16,494.19x = 38,897.44 × 38,897.44
  4. Step 4: Simplify right side
    16,494.19x = 1,513,010,644.07
  5. Step 5: Solve for x
    x = 1,513,010,644.07/16,494.19
  6. Step 6: Final answer
    x = 91,729.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.