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Finding the Third Proportional to 47,652 and 72,502

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Solution

The third proportional to 47,652 and 72,502 is: 110,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 72,502 = 72,502 : x
  2. Step 2: Convert to fraction form
    47,652/72,502 = 72,502/x
  3. Step 3: Cross multiply
    47,652x = 72,502 × 72,502
  4. Step 4: Simplify right side
    47,652x = 5,256,540,004
  5. Step 5: Solve for x
    x = 5,256,540,004/47,652
  6. Step 6: Final answer
    x = 110,311.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.