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Finding the Third Proportional to 1,603 and 2,365

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Solution

The third proportional to 1,603 and 2,365 is: 3,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603 : 2,365 = 2,365 : x
  2. Step 2: Convert to fraction form
    1,603/2,365 = 2,365/x
  3. Step 3: Cross multiply
    1,603x = 2,365 × 2,365
  4. Step 4: Simplify right side
    1,603x = 5,593,225
  5. Step 5: Solve for x
    x = 5,593,225/1,603
  6. Step 6: Final answer
    x = 3,489.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.