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Finding the Third Proportional to 2,594.93 and 5,564.68

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Solution

The third proportional to 2,594.93 and 5,564.68 is: 11,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.93 : 5,564.68 = 5,564.68 : x
  2. Step 2: Convert to fraction form
    2,594.93/5,564.68 = 5,564.68/x
  3. Step 3: Cross multiply
    2,594.93x = 5,564.68 × 5,564.68
  4. Step 4: Simplify right side
    2,594.93x = 30,965,621.98
  5. Step 5: Solve for x
    x = 30,965,621.98/2,594.93
  6. Step 6: Final answer
    x = 11,933.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.