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Finding the Third Proportional to 7,759.41 and 12,036.59

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Solution

The third proportional to 7,759.41 and 12,036.59 is: 18,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.41 : 12,036.59 = 12,036.59 : x
  2. Step 2: Convert to fraction form
    7,759.41/12,036.59 = 12,036.59/x
  3. Step 3: Cross multiply
    7,759.41x = 12,036.59 × 12,036.59
  4. Step 4: Simplify right side
    7,759.41x = 144,879,401.03
  5. Step 5: Solve for x
    x = 144,879,401.03/7,759.41
  6. Step 6: Final answer
    x = 18,671.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.