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Finding the Third Proportional to 4,905.25 and 7,501.88

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Solution

The third proportional to 4,905.25 and 7,501.88 is: 11,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.25 : 7,501.88 = 7,501.88 : x
  2. Step 2: Convert to fraction form
    4,905.25/7,501.88 = 7,501.88/x
  3. Step 3: Cross multiply
    4,905.25x = 7,501.88 × 7,501.88
  4. Step 4: Simplify right side
    4,905.25x = 56,278,128.52
  5. Step 5: Solve for x
    x = 56,278,128.52/4,905.25
  6. Step 6: Final answer
    x = 11,473.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.