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Finding the Third Proportional to 34,560 and 75,378

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Solution

The third proportional to 34,560 and 75,378 is: 164,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560 : 75,378 = 75,378 : x
  2. Step 2: Convert to fraction form
    34,560/75,378 = 75,378/x
  3. Step 3: Cross multiply
    34,560x = 75,378 × 75,378
  4. Step 4: Simplify right side
    34,560x = 5,681,842,884
  5. Step 5: Solve for x
    x = 5,681,842,884/34,560
  6. Step 6: Final answer
    x = 164,405.18

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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.