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Finding the Third Proportional to 21,294 and 44,795

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Solution

The third proportional to 21,294 and 44,795 is: 94,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294 : 44,795 = 44,795 : x
  2. Step 2: Convert to fraction form
    21,294/44,795 = 44,795/x
  3. Step 3: Cross multiply
    21,294x = 44,795 × 44,795
  4. Step 4: Simplify right side
    21,294x = 2,006,592,025
  5. Step 5: Solve for x
    x = 2,006,592,025/21,294
  6. Step 6: Final answer
    x = 94,232.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.