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Finding the Third Proportional to 21,984 and 48,136

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Solution

The third proportional to 21,984 and 48,136 is: 105,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 48,136 = 48,136 : x
  2. Step 2: Convert to fraction form
    21,984/48,136 = 48,136/x
  3. Step 3: Cross multiply
    21,984x = 48,136 × 48,136
  4. Step 4: Simplify right side
    21,984x = 2,317,074,496
  5. Step 5: Solve for x
    x = 2,317,074,496/21,984
  6. Step 6: Final answer
    x = 105,398.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.