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Finding the Third Proportional to 2,942 and 4,507

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Solution

The third proportional to 2,942 and 4,507 is: 6,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942 : 4,507 = 4,507 : x
  2. Step 2: Convert to fraction form
    2,942/4,507 = 4,507/x
  3. Step 3: Cross multiply
    2,942x = 4,507 × 4,507
  4. Step 4: Simplify right side
    2,942x = 20,313,049
  5. Step 5: Solve for x
    x = 20,313,049/2,942
  6. Step 6: Final answer
    x = 6,904.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.