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Finding the Third Proportional to 47,036 and 72,053

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Solution

The third proportional to 47,036 and 72,053 is: 110,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,036 : 72,053 = 72,053 : x
  2. Step 2: Convert to fraction form
    47,036/72,053 = 72,053/x
  3. Step 3: Cross multiply
    47,036x = 72,053 × 72,053
  4. Step 4: Simplify right side
    47,036x = 5,191,634,809
  5. Step 5: Solve for x
    x = 5,191,634,809/47,036
  6. Step 6: Final answer
    x = 110,375.77

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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.