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Finding the Third Proportional to 19,089 and 28,546

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Solution

The third proportional to 19,089 and 28,546 is: 42,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 28,546 = 28,546 : x
  2. Step 2: Convert to fraction form
    19,089/28,546 = 28,546/x
  3. Step 3: Cross multiply
    19,089x = 28,546 × 28,546
  4. Step 4: Simplify right side
    19,089x = 814,874,116
  5. Step 5: Solve for x
    x = 814,874,116/19,089
  6. Step 6: Final answer
    x = 42,688.15

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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.