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Finding the Third Proportional to 7,087.50 and 10,145.25

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Solution

The third proportional to 7,087.50 and 10,145.25 is: 14,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.50 : 10,145.25 = 10,145.25 : x
  2. Step 2: Convert to fraction form
    7,087.50/10,145.25 = 10,145.25/x
  3. Step 3: Cross multiply
    7,087.50x = 10,145.25 × 10,145.25
  4. Step 4: Simplify right side
    7,087.50x = 102,926,097.56
  5. Step 5: Solve for x
    x = 102,926,097.56/7,087.50
  6. Step 6: Final answer
    x = 14,522.20

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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.