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Finding the Third Proportional to 47,805 and 70,014

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Solution

The third proportional to 47,805 and 70,014 is: 102,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805 : 70,014 = 70,014 : x
  2. Step 2: Convert to fraction form
    47,805/70,014 = 70,014/x
  3. Step 3: Cross multiply
    47,805x = 70,014 × 70,014
  4. Step 4: Simplify right side
    47,805x = 4,901,960,196
  5. Step 5: Solve for x
    x = 4,901,960,196/47,805
  6. Step 6: Final answer
    x = 102,540.74

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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.