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Finding the Third Proportional to 5,904.38 and 9,263.06

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Solution

The third proportional to 5,904.38 and 9,263.06 is: 14,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.38 : 9,263.06 = 9,263.06 : x
  2. Step 2: Convert to fraction form
    5,904.38/9,263.06 = 9,263.06/x
  3. Step 3: Cross multiply
    5,904.38x = 9,263.06 × 9,263.06
  4. Step 4: Simplify right side
    5,904.38x = 85,804,326.88
  5. Step 5: Solve for x
    x = 85,804,326.88/5,904.38
  6. Step 6: Final answer
    x = 14,532.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.