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Finding the Third Proportional to 19,032 and 40,980.25

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Solution

The third proportional to 19,032 and 40,980.25 is: 88,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032 : 40,980.25 = 40,980.25 : x
  2. Step 2: Convert to fraction form
    19,032/40,980.25 = 40,980.25/x
  3. Step 3: Cross multiply
    19,032x = 40,980.25 × 40,980.25
  4. Step 4: Simplify right side
    19,032x = 1,679,380,890.06
  5. Step 5: Solve for x
    x = 1,679,380,890.06/19,032
  6. Step 6: Final answer
    x = 88,239.85

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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.