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Finding the Third Proportional to 13,892.63 and 19,852.88

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Solution

The third proportional to 13,892.63 and 19,852.88 is: 28,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.63 : 19,852.88 = 19,852.88 : x
  2. Step 2: Convert to fraction form
    13,892.63/19,852.88 = 19,852.88/x
  3. Step 3: Cross multiply
    13,892.63x = 19,852.88 × 19,852.88
  4. Step 4: Simplify right side
    13,892.63x = 394,136,645.77
  5. Step 5: Solve for x
    x = 394,136,645.77/13,892.63
  6. Step 6: Final answer
    x = 28,370.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.