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Finding the Third Proportional to 4,693.57 and 7,309.62

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Solution

The third proportional to 4,693.57 and 7,309.62 is: 11,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.57 : 7,309.62 = 7,309.62 : x
  2. Step 2: Convert to fraction form
    4,693.57/7,309.62 = 7,309.62/x
  3. Step 3: Cross multiply
    4,693.57x = 7,309.62 × 7,309.62
  4. Step 4: Simplify right side
    4,693.57x = 53,430,503.43
  5. Step 5: Solve for x
    x = 53,430,503.43/4,693.57
  6. Step 6: Final answer
    x = 11,383.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.