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Finding the Third Proportional to 4,570 and 7,357

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Solution

The third proportional to 4,570 and 7,357 is: 11,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 7,357 = 7,357 : x
  2. Step 2: Convert to fraction form
    4,570/7,357 = 7,357/x
  3. Step 3: Cross multiply
    4,570x = 7,357 × 7,357
  4. Step 4: Simplify right side
    4,570x = 54,125,449
  5. Step 5: Solve for x
    x = 54,125,449/4,570
  6. Step 6: Final answer
    x = 11,843.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.