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Finding the Third Proportional to 19,577 and 30,337

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Solution

The third proportional to 19,577 and 30,337 is: 47,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577 : 30,337 = 30,337 : x
  2. Step 2: Convert to fraction form
    19,577/30,337 = 30,337/x
  3. Step 3: Cross multiply
    19,577x = 30,337 × 30,337
  4. Step 4: Simplify right side
    19,577x = 920,333,569
  5. Step 5: Solve for x
    x = 920,333,569/19,577
  6. Step 6: Final answer
    x = 47,010.96

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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.