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Finding the Third Proportional to 29,598 and 64,378

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Solution

The third proportional to 29,598 and 64,378 is: 140,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,598 : 64,378 = 64,378 : x
  2. Step 2: Convert to fraction form
    29,598/64,378 = 64,378/x
  3. Step 3: Cross multiply
    29,598x = 64,378 × 64,378
  4. Step 4: Simplify right side
    29,598x = 4,144,526,884
  5. Step 5: Solve for x
    x = 4,144,526,884/29,598
  6. Step 6: Final answer
    x = 140,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.