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Finding the Third Proportional to 47,671.50 and 70,029

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Solution

The third proportional to 47,671.50 and 70,029 is: 102,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.50 : 70,029 = 70,029 : x
  2. Step 2: Convert to fraction form
    47,671.50/70,029 = 70,029/x
  3. Step 3: Cross multiply
    47,671.50x = 70,029 × 70,029
  4. Step 4: Simplify right side
    47,671.50x = 4,904,060,841
  5. Step 5: Solve for x
    x = 4,904,060,841/47,671.50
  6. Step 6: Final answer
    x = 102,871.96

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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.