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Finding the Third Proportional to 2,436.35 and 4,526.71

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Solution

The third proportional to 2,436.35 and 4,526.71 is: 8,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.35 : 4,526.71 = 4,526.71 : x
  2. Step 2: Convert to fraction form
    2,436.35/4,526.71 = 4,526.71/x
  3. Step 3: Cross multiply
    2,436.35x = 4,526.71 × 4,526.71
  4. Step 4: Simplify right side
    2,436.35x = 20,491,063.28
  5. Step 5: Solve for x
    x = 20,491,063.28/2,436.35
  6. Step 6: Final answer
    x = 8,410.57

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.