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Finding the Third Proportional to 35,811 and 38,929.50

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Solution

The third proportional to 35,811 and 38,929.50 is: 42,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,811 : 38,929.50 = 38,929.50 : x
  2. Step 2: Convert to fraction form
    35,811/38,929.50 = 38,929.50/x
  3. Step 3: Cross multiply
    35,811x = 38,929.50 × 38,929.50
  4. Step 4: Simplify right side
    35,811x = 1,515,505,970.25
  5. Step 5: Solve for x
    x = 1,515,505,970.25/35,811
  6. Step 6: Final answer
    x = 42,319.57

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.