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Finding the Third Proportional to 35,474.63 and 69,967.13

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Solution

The third proportional to 35,474.63 and 69,967.13 is: 137,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,474.63 : 69,967.13 = 69,967.13 : x
  2. Step 2: Convert to fraction form
    35,474.63/69,967.13 = 69,967.13/x
  3. Step 3: Cross multiply
    35,474.63x = 69,967.13 × 69,967.13
  4. Step 4: Simplify right side
    35,474.63x = 4,895,398,580.77
  5. Step 5: Solve for x
    x = 4,895,398,580.77/35,474.63
  6. Step 6: Final answer
    x = 137,997.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.