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Finding the Third Proportional to 35,311.50 and 73,498.50

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Solution

The third proportional to 35,311.50 and 73,498.50 is: 152,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,311.50 : 73,498.50 = 73,498.50 : x
  2. Step 2: Convert to fraction form
    35,311.50/73,498.50 = 73,498.50/x
  3. Step 3: Cross multiply
    35,311.50x = 73,498.50 × 73,498.50
  4. Step 4: Simplify right side
    35,311.50x = 5,402,029,502.25
  5. Step 5: Solve for x
    x = 5,402,029,502.25/35,311.50
  6. Step 6: Final answer
    x = 152,982.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.