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Finding the Third Proportional to 2,329.38 and 4,656.87

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Solution

The third proportional to 2,329.38 and 4,656.87 is: 9,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.38 : 4,656.87 = 4,656.87 : x
  2. Step 2: Convert to fraction form
    2,329.38/4,656.87 = 4,656.87/x
  3. Step 3: Cross multiply
    2,329.38x = 4,656.87 × 4,656.87
  4. Step 4: Simplify right side
    2,329.38x = 21,686,412.00
  5. Step 5: Solve for x
    x = 21,686,412.00/2,329.38
  6. Step 6: Final answer
    x = 9,309.94

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.