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Finding the Third Proportional to 19,452 and 30,178

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Solution

The third proportional to 19,452 and 30,178 is: 46,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,452 : 30,178 = 30,178 : x
  2. Step 2: Convert to fraction form
    19,452/30,178 = 30,178/x
  3. Step 3: Cross multiply
    19,452x = 30,178 × 30,178
  4. Step 4: Simplify right side
    19,452x = 910,711,684
  5. Step 5: Solve for x
    x = 910,711,684/19,452
  6. Step 6: Final answer
    x = 46,818.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.