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Finding the Third Proportional to 47,762 and 72,737

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Solution

The third proportional to 47,762 and 72,737 is: 110,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762 : 72,737 = 72,737 : x
  2. Step 2: Convert to fraction form
    47,762/72,737 = 72,737/x
  3. Step 3: Cross multiply
    47,762x = 72,737 × 72,737
  4. Step 4: Simplify right side
    47,762x = 5,290,671,169
  5. Step 5: Solve for x
    x = 5,290,671,169/47,762
  6. Step 6: Final answer
    x = 110,771.56

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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.