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Finding the Third Proportional to 35,893.13 and 50,297.63

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Solution

The third proportional to 35,893.13 and 50,297.63 is: 70,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.13 : 50,297.63 = 50,297.63 : x
  2. Step 2: Convert to fraction form
    35,893.13/50,297.63 = 50,297.63/x
  3. Step 3: Cross multiply
    35,893.13x = 50,297.63 × 50,297.63
  4. Step 4: Simplify right side
    35,893.13x = 2,529,851,080.64
  5. Step 5: Solve for x
    x = 2,529,851,080.64/35,893.13
  6. Step 6: Final answer
    x = 70,482.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.