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Finding the Third Proportional to 47,708 and 70,103.50

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Solution

The third proportional to 47,708 and 70,103.50 is: 103,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708 : 70,103.50 = 70,103.50 : x
  2. Step 2: Convert to fraction form
    47,708/70,103.50 = 70,103.50/x
  3. Step 3: Cross multiply
    47,708x = 70,103.50 × 70,103.50
  4. Step 4: Simplify right side
    47,708x = 4,914,500,712.25
  5. Step 5: Solve for x
    x = 4,914,500,712.25/47,708
  6. Step 6: Final answer
    x = 103,012.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.