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Finding the Third Proportional to 7,617 and 9,007.50

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Solution

The third proportional to 7,617 and 9,007.50 is: 10,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617 : 9,007.50 = 9,007.50 : x
  2. Step 2: Convert to fraction form
    7,617/9,007.50 = 9,007.50/x
  3. Step 3: Cross multiply
    7,617x = 9,007.50 × 9,007.50
  4. Step 4: Simplify right side
    7,617x = 81,135,056.25
  5. Step 5: Solve for x
    x = 81,135,056.25/7,617
  6. Step 6: Final answer
    x = 10,651.84

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.