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Finding the Third Proportional to 48,342 and 70,410

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Solution

The third proportional to 48,342 and 70,410 is: 102,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,342 : 70,410 = 70,410 : x
  2. Step 2: Convert to fraction form
    48,342/70,410 = 70,410/x
  3. Step 3: Cross multiply
    48,342x = 70,410 × 70,410
  4. Step 4: Simplify right side
    48,342x = 4,957,568,100
  5. Step 5: Solve for x
    x = 4,957,568,100/48,342
  6. Step 6: Final answer
    x = 102,551.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.