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Finding the Third Proportional to 47,669.50 and 72,787

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Solution

The third proportional to 47,669.50 and 72,787 is: 111,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,669.50 : 72,787 = 72,787 : x
  2. Step 2: Convert to fraction form
    47,669.50/72,787 = 72,787/x
  3. Step 3: Cross multiply
    47,669.50x = 72,787 × 72,787
  4. Step 4: Simplify right side
    47,669.50x = 5,297,947,369
  5. Step 5: Solve for x
    x = 5,297,947,369/47,669.50
  6. Step 6: Final answer
    x = 111,139.14

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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.