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Finding the Third Proportional to 7,602.19 and 11,723.91

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Solution

The third proportional to 7,602.19 and 11,723.91 is: 18,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.19 : 11,723.91 = 11,723.91 : x
  2. Step 2: Convert to fraction form
    7,602.19/11,723.91 = 11,723.91/x
  3. Step 3: Cross multiply
    7,602.19x = 11,723.91 × 11,723.91
  4. Step 4: Simplify right side
    7,602.19x = 137,449,977.76
  5. Step 5: Solve for x
    x = 137,449,977.76/7,602.19
  6. Step 6: Final answer
    x = 18,080.32

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