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Finding the Third Proportional to 35,443.50 and 76,707

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Solution

The third proportional to 35,443.50 and 76,707 is: 166,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,443.50 : 76,707 = 76,707 : x
  2. Step 2: Convert to fraction form
    35,443.50/76,707 = 76,707/x
  3. Step 3: Cross multiply
    35,443.50x = 76,707 × 76,707
  4. Step 4: Simplify right side
    35,443.50x = 5,883,963,849
  5. Step 5: Solve for x
    x = 5,883,963,849/35,443.50
  6. Step 6: Final answer
    x = 166,009.67

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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.