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Finding the Third Proportional to 35,072 and 47,253

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Solution

The third proportional to 35,072 and 47,253 is: 63,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072 : 47,253 = 47,253 : x
  2. Step 2: Convert to fraction form
    35,072/47,253 = 47,253/x
  3. Step 3: Cross multiply
    35,072x = 47,253 × 47,253
  4. Step 4: Simplify right side
    35,072x = 2,232,846,009
  5. Step 5: Solve for x
    x = 2,232,846,009/35,072
  6. Step 6: Final answer
    x = 63,664.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.