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Finding the Third Proportional to 2,407 and 3,237

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Solution

The third proportional to 2,407 and 3,237 is: 4,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407 : 3,237 = 3,237 : x
  2. Step 2: Convert to fraction form
    2,407/3,237 = 3,237/x
  3. Step 3: Cross multiply
    2,407x = 3,237 × 3,237
  4. Step 4: Simplify right side
    2,407x = 10,478,169
  5. Step 5: Solve for x
    x = 10,478,169/2,407
  6. Step 6: Final answer
    x = 4,353.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.