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Finding the Third Proportional to 6,051.38 and 9,345.38

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Solution

The third proportional to 6,051.38 and 9,345.38 is: 14,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.38 : 9,345.38 = 9,345.38 : x
  2. Step 2: Convert to fraction form
    6,051.38/9,345.38 = 9,345.38/x
  3. Step 3: Cross multiply
    6,051.38x = 9,345.38 × 9,345.38
  4. Step 4: Simplify right side
    6,051.38x = 87,336,033.89
  5. Step 5: Solve for x
    x = 87,336,033.89/6,051.38
  6. Step 6: Final answer
    x = 14,432.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.