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Finding the Third Proportional to 2,336.63 and 3,575.53

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Solution

The third proportional to 2,336.63 and 3,575.53 is: 5,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.63 : 3,575.53 = 3,575.53 : x
  2. Step 2: Convert to fraction form
    2,336.63/3,575.53 = 3,575.53/x
  3. Step 3: Cross multiply
    2,336.63x = 3,575.53 × 3,575.53
  4. Step 4: Simplify right side
    2,336.63x = 12,784,423.72
  5. Step 5: Solve for x
    x = 12,784,423.72/2,336.63
  6. Step 6: Final answer
    x = 5,471.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.