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Finding the Third Proportional to 19,009.88 and 45,738.94

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Solution

The third proportional to 19,009.88 and 45,738.94 is: 110,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009.88 : 45,738.94 = 45,738.94 : x
  2. Step 2: Convert to fraction form
    19,009.88/45,738.94 = 45,738.94/x
  3. Step 3: Cross multiply
    19,009.88x = 45,738.94 × 45,738.94
  4. Step 4: Simplify right side
    19,009.88x = 2,092,050,403.63
  5. Step 5: Solve for x
    x = 2,092,050,403.63/19,009.88
  6. Step 6: Final answer
    x = 110,050.72

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.