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Finding the Third Proportional to 4,053.38 and 8,594.86

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Solution

The third proportional to 4,053.38 and 8,594.86 is: 18,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.38 : 8,594.86 = 8,594.86 : x
  2. Step 2: Convert to fraction form
    4,053.38/8,594.86 = 8,594.86/x
  3. Step 3: Cross multiply
    4,053.38x = 8,594.86 × 8,594.86
  4. Step 4: Simplify right side
    4,053.38x = 73,871,607.68
  5. Step 5: Solve for x
    x = 73,871,607.68/4,053.38
  6. Step 6: Final answer
    x = 18,224.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.