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Finding the Third Proportional to 5,904.75 and 9,263.63

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Solution

The third proportional to 5,904.75 and 9,263.63 is: 14,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.75 : 9,263.63 = 9,263.63 : x
  2. Step 2: Convert to fraction form
    5,904.75/9,263.63 = 9,263.63/x
  3. Step 3: Cross multiply
    5,904.75x = 9,263.63 × 9,263.63
  4. Step 4: Simplify right side
    5,904.75x = 85,814,748.14
  5. Step 5: Solve for x
    x = 85,814,748.14/5,904.75
  6. Step 6: Final answer
    x = 14,533.17

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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.