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Finding the Third Proportional to 19,374.19 and 41,846.63

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Solution

The third proportional to 19,374.19 and 41,846.63 is: 90,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374.19 : 41,846.63 = 41,846.63 : x
  2. Step 2: Convert to fraction form
    19,374.19/41,846.63 = 41,846.63/x
  3. Step 3: Cross multiply
    19,374.19x = 41,846.63 × 41,846.63
  4. Step 4: Simplify right side
    19,374.19x = 1,751,140,023.89
  5. Step 5: Solve for x
    x = 1,751,140,023.89/19,374.19
  6. Step 6: Final answer
    x = 90,385.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.