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Finding the Third Proportional to 34,560 and 70,624

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Solution

The third proportional to 34,560 and 70,624 is: 144,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560 : 70,624 = 70,624 : x
  2. Step 2: Convert to fraction form
    34,560/70,624 = 70,624/x
  3. Step 3: Cross multiply
    34,560x = 70,624 × 70,624
  4. Step 4: Simplify right side
    34,560x = 4,987,749,376
  5. Step 5: Solve for x
    x = 4,987,749,376/34,560
  6. Step 6: Final answer
    x = 144,321.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.