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Finding the Third Proportional to 5,261.06 and 7,980.19

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Solution

The third proportional to 5,261.06 and 7,980.19 is: 12,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.06 : 7,980.19 = 7,980.19 : x
  2. Step 2: Convert to fraction form
    5,261.06/7,980.19 = 7,980.19/x
  3. Step 3: Cross multiply
    5,261.06x = 7,980.19 × 7,980.19
  4. Step 4: Simplify right side
    5,261.06x = 63,683,392.54
  5. Step 5: Solve for x
    x = 63,683,392.54/5,261.06
  6. Step 6: Final answer
    x = 12,104.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.