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Finding the Third Proportional to 2,289.38 and 4,931.44

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Solution

The third proportional to 2,289.38 and 4,931.44 is: 10,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.38 : 4,931.44 = 4,931.44 : x
  2. Step 2: Convert to fraction form
    2,289.38/4,931.44 = 4,931.44/x
  3. Step 3: Cross multiply
    2,289.38x = 4,931.44 × 4,931.44
  4. Step 4: Simplify right side
    2,289.38x = 24,319,075.82
  5. Step 5: Solve for x
    x = 24,319,075.82/2,289.38
  6. Step 6: Final answer
    x = 10,622.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.