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Finding the Third Proportional to 2,432.63 and 3,800.63

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Solution

The third proportional to 2,432.63 and 3,800.63 is: 5,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.63 : 3,800.63 = 3,800.63 : x
  2. Step 2: Convert to fraction form
    2,432.63/3,800.63 = 3,800.63/x
  3. Step 3: Cross multiply
    2,432.63x = 3,800.63 × 3,800.63
  4. Step 4: Simplify right side
    2,432.63x = 14,444,750.39
  5. Step 5: Solve for x
    x = 14,444,750.39/2,432.63
  6. Step 6: Final answer
    x = 5,937.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.