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Finding the Third Proportional to 7,497.56 and 9,990.84

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Solution

The third proportional to 7,497.56 and 9,990.84 is: 13,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.56 : 9,990.84 = 9,990.84 : x
  2. Step 2: Convert to fraction form
    7,497.56/9,990.84 = 9,990.84/x
  3. Step 3: Cross multiply
    7,497.56x = 9,990.84 × 9,990.84
  4. Step 4: Simplify right side
    7,497.56x = 99,816,958.84
  5. Step 5: Solve for x
    x = 99,816,958.84/7,497.56
  6. Step 6: Final answer
    x = 13,313.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.