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Finding the Third Proportional to 13,073.63 and 19,733.06

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Solution

The third proportional to 13,073.63 and 19,733.06 is: 29,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.63 : 19,733.06 = 19,733.06 : x
  2. Step 2: Convert to fraction form
    13,073.63/19,733.06 = 19,733.06/x
  3. Step 3: Cross multiply
    13,073.63x = 19,733.06 × 19,733.06
  4. Step 4: Simplify right side
    13,073.63x = 389,393,755.63
  5. Step 5: Solve for x
    x = 389,393,755.63/13,073.63
  6. Step 6: Final answer
    x = 29,784.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.