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Finding the Third Proportional to 7,702.03 and 11,879.58

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Solution

The third proportional to 7,702.03 and 11,879.58 is: 18,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.03 : 11,879.58 = 11,879.58 : x
  2. Step 2: Convert to fraction form
    7,702.03/11,879.58 = 11,879.58/x
  3. Step 3: Cross multiply
    7,702.03x = 11,879.58 × 11,879.58
  4. Step 4: Simplify right side
    7,702.03x = 141,124,376.43
  5. Step 5: Solve for x
    x = 141,124,376.43/7,702.03
  6. Step 6: Final answer
    x = 18,323.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.