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Finding the Third Proportional to 13,378 and 28,483

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Solution

The third proportional to 13,378 and 28,483 is: 60,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378 : 28,483 = 28,483 : x
  2. Step 2: Convert to fraction form
    13,378/28,483 = 28,483/x
  3. Step 3: Cross multiply
    13,378x = 28,483 × 28,483
  4. Step 4: Simplify right side
    13,378x = 811,281,289
  5. Step 5: Solve for x
    x = 811,281,289/13,378
  6. Step 6: Final answer
    x = 60,642.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.