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Finding the Third Proportional to 19,389 and 42,706

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Solution

The third proportional to 19,389 and 42,706 is: 94,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,389 : 42,706 = 42,706 : x
  2. Step 2: Convert to fraction form
    19,389/42,706 = 42,706/x
  3. Step 3: Cross multiply
    19,389x = 42,706 × 42,706
  4. Step 4: Simplify right side
    19,389x = 1,823,802,436
  5. Step 5: Solve for x
    x = 1,823,802,436/19,389
  6. Step 6: Final answer
    x = 94,063.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.