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Finding the Third Proportional to 8,946.38 and 19,431.75

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Solution

The third proportional to 8,946.38 and 19,431.75 is: 42,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.38 : 19,431.75 = 19,431.75 : x
  2. Step 2: Convert to fraction form
    8,946.38/19,431.75 = 19,431.75/x
  3. Step 3: Cross multiply
    8,946.38x = 19,431.75 × 19,431.75
  4. Step 4: Simplify right side
    8,946.38x = 377,592,908.06
  5. Step 5: Solve for x
    x = 377,592,908.06/8,946.38
  6. Step 6: Final answer
    x = 42,206.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.