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Finding the Third Proportional to 7,674.75 and 10,187.02

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Solution

The third proportional to 7,674.75 and 10,187.02 is: 13,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 10,187.02 = 10,187.02 : x
  2. Step 2: Convert to fraction form
    7,674.75/10,187.02 = 10,187.02/x
  3. Step 3: Cross multiply
    7,674.75x = 10,187.02 × 10,187.02
  4. Step 4: Simplify right side
    7,674.75x = 103,775,287.34
  5. Step 5: Solve for x
    x = 103,775,287.34/7,674.75
  6. Step 6: Final answer
    x = 13,521.65

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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.