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Finding the Third Proportional to 32,436 and 70,410

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Solution

The third proportional to 32,436 and 70,410 is: 152,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,436 : 70,410 = 70,410 : x
  2. Step 2: Convert to fraction form
    32,436/70,410 = 70,410/x
  3. Step 3: Cross multiply
    32,436x = 70,410 × 70,410
  4. Step 4: Simplify right side
    32,436x = 4,957,568,100
  5. Step 5: Solve for x
    x = 4,957,568,100/32,436
  6. Step 6: Final answer
    x = 152,841.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.