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Finding the Third Proportional to 8,056.02 and 17,701.03

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Solution

The third proportional to 8,056.02 and 17,701.03 is: 38,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.02 : 17,701.03 = 17,701.03 : x
  2. Step 2: Convert to fraction form
    8,056.02/17,701.03 = 17,701.03/x
  3. Step 3: Cross multiply
    8,056.02x = 17,701.03 × 17,701.03
  4. Step 4: Simplify right side
    8,056.02x = 313,326,507.31
  5. Step 5: Solve for x
    x = 313,326,507.31/8,056.02
  6. Step 6: Final answer
    x = 38,893.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.