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Finding the Third Proportional to 19,927 and 43,363

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Solution

The third proportional to 19,927 and 43,363 is: 94,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927 : 43,363 = 43,363 : x
  2. Step 2: Convert to fraction form
    19,927/43,363 = 43,363/x
  3. Step 3: Cross multiply
    19,927x = 43,363 × 43,363
  4. Step 4: Simplify right side
    19,927x = 1,880,349,769
  5. Step 5: Solve for x
    x = 1,880,349,769/19,927
  6. Step 6: Final answer
    x = 94,361.91

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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.