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Finding the Third Proportional to 30,505 and 44,767.50

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Solution

The third proportional to 30,505 and 44,767.50 is: 65,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505 : 44,767.50 = 44,767.50 : x
  2. Step 2: Convert to fraction form
    30,505/44,767.50 = 44,767.50/x
  3. Step 3: Cross multiply
    30,505x = 44,767.50 × 44,767.50
  4. Step 4: Simplify right side
    30,505x = 2,004,129,056.25
  5. Step 5: Solve for x
    x = 2,004,129,056.25/30,505
  6. Step 6: Final answer
    x = 65,698.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.