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Finding the Third Proportional to 21,897.84 and 47,919.09

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Solution

The third proportional to 21,897.84 and 47,919.09 is: 104,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.84 : 47,919.09 = 47,919.09 : x
  2. Step 2: Convert to fraction form
    21,897.84/47,919.09 = 47,919.09/x
  3. Step 3: Cross multiply
    21,897.84x = 47,919.09 × 47,919.09
  4. Step 4: Simplify right side
    21,897.84x = 2,296,239,545.82
  5. Step 5: Solve for x
    x = 2,296,239,545.82/21,897.84
  6. Step 6: Final answer
    x = 104,861.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.