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Finding the Third Proportional to 7,674.75 and 8,403.75

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Solution

The third proportional to 7,674.75 and 8,403.75 is: 9,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 8,403.75 = 8,403.75 : x
  2. Step 2: Convert to fraction form
    7,674.75/8,403.75 = 8,403.75/x
  3. Step 3: Cross multiply
    7,674.75x = 8,403.75 × 8,403.75
  4. Step 4: Simplify right side
    7,674.75x = 70,623,014.06
  5. Step 5: Solve for x
    x = 70,623,014.06/7,674.75
  6. Step 6: Final answer
    x = 9,202.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.