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Finding the Third Proportional to 16,119 and 24,897.38

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Solution

The third proportional to 16,119 and 24,897.38 is: 38,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119 : 24,897.38 = 24,897.38 : x
  2. Step 2: Convert to fraction form
    16,119/24,897.38 = 24,897.38/x
  3. Step 3: Cross multiply
    16,119x = 24,897.38 × 24,897.38
  4. Step 4: Simplify right side
    16,119x = 619,879,281.89
  5. Step 5: Solve for x
    x = 619,879,281.89/16,119
  6. Step 6: Final answer
    x = 38,456.44

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