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Finding the Third Proportional to 19,866 and 43,294

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Solution

The third proportional to 19,866 and 43,294 is: 94,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866 : 43,294 = 43,294 : x
  2. Step 2: Convert to fraction form
    19,866/43,294 = 43,294/x
  3. Step 3: Cross multiply
    19,866x = 43,294 × 43,294
  4. Step 4: Simplify right side
    19,866x = 1,874,370,436
  5. Step 5: Solve for x
    x = 1,874,370,436/19,866
  6. Step 6: Final answer
    x = 94,350.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.