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Finding the Third Proportional to 47,010 and 72,003

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Solution

The third proportional to 47,010 and 72,003 is: 110,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,010 : 72,003 = 72,003 : x
  2. Step 2: Convert to fraction form
    47,010/72,003 = 72,003/x
  3. Step 3: Cross multiply
    47,010x = 72,003 × 72,003
  4. Step 4: Simplify right side
    47,010x = 5,184,432,009
  5. Step 5: Solve for x
    x = 5,184,432,009/47,010
  6. Step 6: Final answer
    x = 110,283.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.