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Finding the Third Proportional to 2,250.94 and 3,564.94

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Solution

The third proportional to 2,250.94 and 3,564.94 is: 5,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.94 : 3,564.94 = 3,564.94 : x
  2. Step 2: Convert to fraction form
    2,250.94/3,564.94 = 3,564.94/x
  3. Step 3: Cross multiply
    2,250.94x = 3,564.94 × 3,564.94
  4. Step 4: Simplify right side
    2,250.94x = 12,708,779.38
  5. Step 5: Solve for x
    x = 12,708,779.38/2,250.94
  6. Step 6: Final answer
    x = 5,645.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.