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Finding the Third Proportional to 2,106 and 3,237

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Solution

The third proportional to 2,106 and 3,237 is: 4,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 3,237 = 3,237 : x
  2. Step 2: Convert to fraction form
    2,106/3,237 = 3,237/x
  3. Step 3: Cross multiply
    2,106x = 3,237 × 3,237
  4. Step 4: Simplify right side
    2,106x = 10,478,169
  5. Step 5: Solve for x
    x = 10,478,169/2,106
  6. Step 6: Final answer
    x = 4,975.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.