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Finding the Third Proportional to 19,257 and 30,789

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Solution

The third proportional to 19,257 and 30,789 is: 49,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257 : 30,789 = 30,789 : x
  2. Step 2: Convert to fraction form
    19,257/30,789 = 30,789/x
  3. Step 3: Cross multiply
    19,257x = 30,789 × 30,789
  4. Step 4: Simplify right side
    19,257x = 947,962,521
  5. Step 5: Solve for x
    x = 947,962,521/19,257
  6. Step 6: Final answer
    x = 49,226.91

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.