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Finding the Third Proportional to 4,629.66 and 9,703.55

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Solution

The third proportional to 4,629.66 and 9,703.55 is: 20,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.66 : 9,703.55 = 9,703.55 : x
  2. Step 2: Convert to fraction form
    4,629.66/9,703.55 = 9,703.55/x
  3. Step 3: Cross multiply
    4,629.66x = 9,703.55 × 9,703.55
  4. Step 4: Simplify right side
    4,629.66x = 94,158,821.96
  5. Step 5: Solve for x
    x = 94,158,821.96/4,629.66
  6. Step 6: Final answer
    x = 20,338.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.