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Finding the Third Proportional to 5,970 and 14,051

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Solution

The third proportional to 5,970 and 14,051 is: 33,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 14,051 = 14,051 : x
  2. Step 2: Convert to fraction form
    5,970/14,051 = 14,051/x
  3. Step 3: Cross multiply
    5,970x = 14,051 × 14,051
  4. Step 4: Simplify right side
    5,970x = 197,430,601
  5. Step 5: Solve for x
    x = 197,430,601/5,970
  6. Step 6: Final answer
    x = 33,070.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.