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Finding the Third Proportional to 19,384 and 40,944

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Solution

The third proportional to 19,384 and 40,944 is: 86,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384 : 40,944 = 40,944 : x
  2. Step 2: Convert to fraction form
    19,384/40,944 = 40,944/x
  3. Step 3: Cross multiply
    19,384x = 40,944 × 40,944
  4. Step 4: Simplify right side
    19,384x = 1,676,411,136
  5. Step 5: Solve for x
    x = 1,676,411,136/19,384
  6. Step 6: Final answer
    x = 86,484.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.