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Finding the Third Proportional to 13,010.63 and 19,605.38

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Solution

The third proportional to 13,010.63 and 19,605.38 is: 29,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.63 : 19,605.38 = 19,605.38 : x
  2. Step 2: Convert to fraction form
    13,010.63/19,605.38 = 19,605.38/x
  3. Step 3: Cross multiply
    13,010.63x = 19,605.38 × 19,605.38
  4. Step 4: Simplify right side
    13,010.63x = 384,370,728.89
  5. Step 5: Solve for x
    x = 384,370,728.89/13,010.63
  6. Step 6: Final answer
    x = 29,542.83

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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.