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Finding the Third Proportional to 1,607 and 2,392

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Solution

The third proportional to 1,607 and 2,392 is: 3,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607 : 2,392 = 2,392 : x
  2. Step 2: Convert to fraction form
    1,607/2,392 = 2,392/x
  3. Step 3: Cross multiply
    1,607x = 2,392 × 2,392
  4. Step 4: Simplify right side
    1,607x = 5,721,664
  5. Step 5: Solve for x
    x = 5,721,664/1,607
  6. Step 6: Final answer
    x = 3,560.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.