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Finding the Third Proportional to 19,894.50 and 41,706

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Solution

The third proportional to 19,894.50 and 41,706 is: 87,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.50 : 41,706 = 41,706 : x
  2. Step 2: Convert to fraction form
    19,894.50/41,706 = 41,706/x
  3. Step 3: Cross multiply
    19,894.50x = 41,706 × 41,706
  4. Step 4: Simplify right side
    19,894.50x = 1,739,390,436
  5. Step 5: Solve for x
    x = 1,739,390,436/19,894.50
  6. Step 6: Final answer
    x = 87,430.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.