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Finding the Third Proportional to 35,096.63 and 54,548.44

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Solution

The third proportional to 35,096.63 and 54,548.44 is: 84,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,096.63 : 54,548.44 = 54,548.44 : x
  2. Step 2: Convert to fraction form
    35,096.63/54,548.44 = 54,548.44/x
  3. Step 3: Cross multiply
    35,096.63x = 54,548.44 × 54,548.44
  4. Step 4: Simplify right side
    35,096.63x = 2,975,532,033.69
  5. Step 5: Solve for x
    x = 2,975,532,033.69/35,096.63
  6. Step 6: Final answer
    x = 84,781.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.