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Finding the Third Proportional to 35,519.50 and 76,574

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Solution

The third proportional to 35,519.50 and 76,574 is: 165,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,519.50 : 76,574 = 76,574 : x
  2. Step 2: Convert to fraction form
    35,519.50/76,574 = 76,574/x
  3. Step 3: Cross multiply
    35,519.50x = 76,574 × 76,574
  4. Step 4: Simplify right side
    35,519.50x = 5,863,577,476
  5. Step 5: Solve for x
    x = 5,863,577,476/35,519.50
  6. Step 6: Final answer
    x = 165,080.52

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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.