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Finding the Third Proportional to 35,077.50 and 74,536.88

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Solution

The third proportional to 35,077.50 and 74,536.88 is: 158,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077.50 : 74,536.88 = 74,536.88 : x
  2. Step 2: Convert to fraction form
    35,077.50/74,536.88 = 74,536.88/x
  3. Step 3: Cross multiply
    35,077.50x = 74,536.88 × 74,536.88
  4. Step 4: Simplify right side
    35,077.50x = 5,555,745,734.77
  5. Step 5: Solve for x
    x = 5,555,745,734.77/35,077.50
  6. Step 6: Final answer
    x = 158,384.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.