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Finding the Third Proportional to 3,014.81 and 4,715.25

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Solution

The third proportional to 3,014.81 and 4,715.25 is: 7,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.81 : 4,715.25 = 4,715.25 : x
  2. Step 2: Convert to fraction form
    3,014.81/4,715.25 = 4,715.25/x
  3. Step 3: Cross multiply
    3,014.81x = 4,715.25 × 4,715.25
  4. Step 4: Simplify right side
    3,014.81x = 22,233,582.56
  5. Step 5: Solve for x
    x = 22,233,582.56/3,014.81
  6. Step 6: Final answer
    x = 7,374.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.