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Finding the Third Proportional to 35,410.50 and 73,710

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Solution

The third proportional to 35,410.50 and 73,710 is: 153,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,410.50 : 73,710 = 73,710 : x
  2. Step 2: Convert to fraction form
    35,410.50/73,710 = 73,710/x
  3. Step 3: Cross multiply
    35,410.50x = 73,710 × 73,710
  4. Step 4: Simplify right side
    35,410.50x = 5,433,164,100
  5. Step 5: Solve for x
    x = 5,433,164,100/35,410.50
  6. Step 6: Final answer
    x = 153,433.70

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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.