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Finding the Third Proportional to 1,432.05 and 3,045.73

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Solution

The third proportional to 1,432.05 and 3,045.73 is: 6,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.05 : 3,045.73 = 3,045.73 : x
  2. Step 2: Convert to fraction form
    1,432.05/3,045.73 = 3,045.73/x
  3. Step 3: Cross multiply
    1,432.05x = 3,045.73 × 3,045.73
  4. Step 4: Simplify right side
    1,432.05x = 9,276,450.29
  5. Step 5: Solve for x
    x = 9,276,450.29/1,432.05
  6. Step 6: Final answer
    x = 6,477.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.