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Finding the Third Proportional to 7,912 and 19,988

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Solution

The third proportional to 7,912 and 19,988 is: 50,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912 : 19,988 = 19,988 : x
  2. Step 2: Convert to fraction form
    7,912/19,988 = 19,988/x
  3. Step 3: Cross multiply
    7,912x = 19,988 × 19,988
  4. Step 4: Simplify right side
    7,912x = 399,520,144
  5. Step 5: Solve for x
    x = 399,520,144/7,912
  6. Step 6: Final answer
    x = 50,495.47

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.