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Finding the Third Proportional to 5,971.50 and 13,077

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Solution

The third proportional to 5,971.50 and 13,077 is: 28,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 13,077 = 13,077 : x
  2. Step 2: Convert to fraction form
    5,971.50/13,077 = 13,077/x
  3. Step 3: Cross multiply
    5,971.50x = 13,077 × 13,077
  4. Step 4: Simplify right side
    5,971.50x = 171,007,929
  5. Step 5: Solve for x
    x = 171,007,929/5,971.50
  6. Step 6: Final answer
    x = 28,637.35

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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.