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Finding the Third Proportional to 21,624.75 and 47,946.38

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Solution

The third proportional to 21,624.75 and 47,946.38 is: 106,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.75 : 47,946.38 = 47,946.38 : x
  2. Step 2: Convert to fraction form
    21,624.75/47,946.38 = 47,946.38/x
  3. Step 3: Cross multiply
    21,624.75x = 47,946.38 × 47,946.38
  4. Step 4: Simplify right side
    21,624.75x = 2,298,854,875.64
  5. Step 5: Solve for x
    x = 2,298,854,875.64/21,624.75
  6. Step 6: Final answer
    x = 106,306.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.