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Finding the Third Proportional to 35,046 and 73,921.50

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Solution

The third proportional to 35,046 and 73,921.50 is: 155,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,046 : 73,921.50 = 73,921.50 : x
  2. Step 2: Convert to fraction form
    35,046/73,921.50 = 73,921.50/x
  3. Step 3: Cross multiply
    35,046x = 73,921.50 × 73,921.50
  4. Step 4: Simplify right side
    35,046x = 5,464,388,162.25
  5. Step 5: Solve for x
    x = 5,464,388,162.25/35,046
  6. Step 6: Final answer
    x = 155,920.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.