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Finding the Third Proportional to 1,009 and 1,357

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Solution

The third proportional to 1,009 and 1,357 is: 1,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 1,357 = 1,357 : x
  2. Step 2: Convert to fraction form
    1,009/1,357 = 1,357/x
  3. Step 3: Cross multiply
    1,009x = 1,357 × 1,357
  4. Step 4: Simplify right side
    1,009x = 1,841,449
  5. Step 5: Solve for x
    x = 1,841,449/1,009
  6. Step 6: Final answer
    x = 1,825.02

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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.