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Finding the Third Proportional to 8,032.29 and 17,271.98

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Solution

The third proportional to 8,032.29 and 17,271.98 is: 37,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.29 : 17,271.98 = 17,271.98 : x
  2. Step 2: Convert to fraction form
    8,032.29/17,271.98 = 17,271.98/x
  3. Step 3: Cross multiply
    8,032.29x = 17,271.98 × 17,271.98
  4. Step 4: Simplify right side
    8,032.29x = 298,321,444.25
  5. Step 5: Solve for x
    x = 298,321,444.25/8,032.29
  6. Step 6: Final answer
    x = 37,140.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.