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Finding the Third Proportional to 35,671.50 and 76,873.50

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Solution

The third proportional to 35,671.50 and 76,873.50 is: 165,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.50 : 76,873.50 = 76,873.50 : x
  2. Step 2: Convert to fraction form
    35,671.50/76,873.50 = 76,873.50/x
  3. Step 3: Cross multiply
    35,671.50x = 76,873.50 × 76,873.50
  4. Step 4: Simplify right side
    35,671.50x = 5,909,535,002.25
  5. Step 5: Solve for x
    x = 5,909,535,002.25/35,671.50
  6. Step 6: Final answer
    x = 165,665.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.