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Finding the Third Proportional to 4,971 and 7,943

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Solution

The third proportional to 4,971 and 7,943 is: 12,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971 : 7,943 = 7,943 : x
  2. Step 2: Convert to fraction form
    4,971/7,943 = 7,943/x
  3. Step 3: Cross multiply
    4,971x = 7,943 × 7,943
  4. Step 4: Simplify right side
    4,971x = 63,091,249
  5. Step 5: Solve for x
    x = 63,091,249/4,971
  6. Step 6: Final answer
    x = 12,691.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.