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Finding the Third Proportional to 19,032 and 40,869.38

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Solution

The third proportional to 19,032 and 40,869.38 is: 87,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032 : 40,869.38 = 40,869.38 : x
  2. Step 2: Convert to fraction form
    19,032/40,869.38 = 40,869.38/x
  3. Step 3: Cross multiply
    19,032x = 40,869.38 × 40,869.38
  4. Step 4: Simplify right side
    19,032x = 1,670,305,812.89
  5. Step 5: Solve for x
    x = 1,670,305,812.89/19,032
  6. Step 6: Final answer
    x = 87,763.02

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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.