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Finding the Third Proportional to 47,689 and 70,072

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Solution

The third proportional to 47,689 and 70,072 is: 102,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,689 : 70,072 = 70,072 : x
  2. Step 2: Convert to fraction form
    47,689/70,072 = 70,072/x
  3. Step 3: Cross multiply
    47,689x = 70,072 × 70,072
  4. Step 4: Simplify right side
    47,689x = 4,910,085,184
  5. Step 5: Solve for x
    x = 4,910,085,184/47,689
  6. Step 6: Final answer
    x = 102,960.54

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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.