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Finding the Third Proportional to 19,948 and 30,354

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Solution

The third proportional to 19,948 and 30,354 is: 46,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948 : 30,354 = 30,354 : x
  2. Step 2: Convert to fraction form
    19,948/30,354 = 30,354/x
  3. Step 3: Cross multiply
    19,948x = 30,354 × 30,354
  4. Step 4: Simplify right side
    19,948x = 921,365,316
  5. Step 5: Solve for x
    x = 921,365,316/19,948
  6. Step 6: Final answer
    x = 46,188.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.