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Finding the Third Proportional to 4,007.50 and 8,606.75

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Solution

The third proportional to 4,007.50 and 8,606.75 is: 18,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.50 : 8,606.75 = 8,606.75 : x
  2. Step 2: Convert to fraction form
    4,007.50/8,606.75 = 8,606.75/x
  3. Step 3: Cross multiply
    4,007.50x = 8,606.75 × 8,606.75
  4. Step 4: Simplify right side
    4,007.50x = 74,076,145.56
  5. Step 5: Solve for x
    x = 74,076,145.56/4,007.50
  6. Step 6: Final answer
    x = 18,484.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.