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Finding the Third Proportional to 7,089.75 and 10,105.88

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Solution

The third proportional to 7,089.75 and 10,105.88 is: 14,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.75 : 10,105.88 = 10,105.88 : x
  2. Step 2: Convert to fraction form
    7,089.75/10,105.88 = 10,105.88/x
  3. Step 3: Cross multiply
    7,089.75x = 10,105.88 × 10,105.88
  4. Step 4: Simplify right side
    7,089.75x = 102,128,709.52
  5. Step 5: Solve for x
    x = 102,128,709.52/7,089.75
  6. Step 6: Final answer
    x = 14,405.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.