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Finding the Third Proportional to 20,156.25 and 30,254.63

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Solution

The third proportional to 20,156.25 and 30,254.63 is: 45,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.25 : 30,254.63 = 30,254.63 : x
  2. Step 2: Convert to fraction form
    20,156.25/30,254.63 = 30,254.63/x
  3. Step 3: Cross multiply
    20,156.25x = 30,254.63 × 30,254.63
  4. Step 4: Simplify right side
    20,156.25x = 915,342,333.89
  5. Step 5: Solve for x
    x = 915,342,333.89/20,156.25
  6. Step 6: Final answer
    x = 45,412.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.