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Finding the Third Proportional to 19,407.50 and 41,788.50

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Solution

The third proportional to 19,407.50 and 41,788.50 is: 89,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.50 : 41,788.50 = 41,788.50 : x
  2. Step 2: Convert to fraction form
    19,407.50/41,788.50 = 41,788.50/x
  3. Step 3: Cross multiply
    19,407.50x = 41,788.50 × 41,788.50
  4. Step 4: Simplify right side
    19,407.50x = 1,746,278,732.25
  5. Step 5: Solve for x
    x = 1,746,278,732.25/19,407.50
  6. Step 6: Final answer
    x = 89,979.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.