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Finding the Third Proportional to 4,640 and 10,112

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Solution

The third proportional to 4,640 and 10,112 is: 22,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640 : 10,112 = 10,112 : x
  2. Step 2: Convert to fraction form
    4,640/10,112 = 10,112/x
  3. Step 3: Cross multiply
    4,640x = 10,112 × 10,112
  4. Step 4: Simplify right side
    4,640x = 102,252,544
  5. Step 5: Solve for x
    x = 102,252,544/4,640
  6. Step 6: Final answer
    x = 22,037.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.