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Finding the Third Proportional to 19,156 and 26,819

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Solution

The third proportional to 19,156 and 26,819 is: 37,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156 : 26,819 = 26,819 : x
  2. Step 2: Convert to fraction form
    19,156/26,819 = 26,819/x
  3. Step 3: Cross multiply
    19,156x = 26,819 × 26,819
  4. Step 4: Simplify right side
    19,156x = 719,258,761
  5. Step 5: Solve for x
    x = 719,258,761/19,156
  6. Step 6: Final answer
    x = 37,547.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.