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Finding the Third Proportional to 4,254.38 and 8,895.75

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Solution

The third proportional to 4,254.38 and 8,895.75 is: 18,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.38 : 8,895.75 = 8,895.75 : x
  2. Step 2: Convert to fraction form
    4,254.38/8,895.75 = 8,895.75/x
  3. Step 3: Cross multiply
    4,254.38x = 8,895.75 × 8,895.75
  4. Step 4: Simplify right side
    4,254.38x = 79,134,368.06
  5. Step 5: Solve for x
    x = 79,134,368.06/4,254.38
  6. Step 6: Final answer
    x = 18,600.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.