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Finding the Third Proportional to 21,100 and 37,988

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Solution

The third proportional to 21,100 and 37,988 is: 68,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100 : 37,988 = 37,988 : x
  2. Step 2: Convert to fraction form
    21,100/37,988 = 37,988/x
  3. Step 3: Cross multiply
    21,100x = 37,988 × 37,988
  4. Step 4: Simplify right side
    21,100x = 1,443,088,144
  5. Step 5: Solve for x
    x = 1,443,088,144/21,100
  6. Step 6: Final answer
    x = 68,392.80

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.