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Finding the Third Proportional to 4,603 and 5,413

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Solution

The third proportional to 4,603 and 5,413 is: 6,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603 : 5,413 = 5,413 : x
  2. Step 2: Convert to fraction form
    4,603/5,413 = 5,413/x
  3. Step 3: Cross multiply
    4,603x = 5,413 × 5,413
  4. Step 4: Simplify right side
    4,603x = 29,300,569
  5. Step 5: Solve for x
    x = 29,300,569/4,603
  6. Step 6: Final answer
    x = 6,365.54

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.