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Finding the Third Proportional to 19,156.75 and 40,594

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Solution

The third proportional to 19,156.75 and 40,594 is: 86,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156.75 : 40,594 = 40,594 : x
  2. Step 2: Convert to fraction form
    19,156.75/40,594 = 40,594/x
  3. Step 3: Cross multiply
    19,156.75x = 40,594 × 40,594
  4. Step 4: Simplify right side
    19,156.75x = 1,647,872,836
  5. Step 5: Solve for x
    x = 1,647,872,836/19,156.75
  6. Step 6: Final answer
    x = 86,020.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.