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Finding the Third Proportional to 1,564 and 2,357

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Solution

The third proportional to 1,564 and 2,357 is: 3,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564 : 2,357 = 2,357 : x
  2. Step 2: Convert to fraction form
    1,564/2,357 = 2,357/x
  3. Step 3: Cross multiply
    1,564x = 2,357 × 2,357
  4. Step 4: Simplify right side
    1,564x = 5,555,449
  5. Step 5: Solve for x
    x = 5,555,449/1,564
  6. Step 6: Final answer
    x = 3,552.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.