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Finding the Third Proportional to 19,782.88 and 46,699.63

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Solution

The third proportional to 19,782.88 and 46,699.63 is: 110,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.88 : 46,699.63 = 46,699.63 : x
  2. Step 2: Convert to fraction form
    19,782.88/46,699.63 = 46,699.63/x
  3. Step 3: Cross multiply
    19,782.88x = 46,699.63 × 46,699.63
  4. Step 4: Simplify right side
    19,782.88x = 2,180,854,975.14
  5. Step 5: Solve for x
    x = 2,180,854,975.14/19,782.88
  6. Step 6: Final answer
    x = 110,239.54

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.