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Finding the Third Proportional to 13,762.88 and 19,150.13

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Solution

The third proportional to 13,762.88 and 19,150.13 is: 26,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.88 : 19,150.13 = 19,150.13 : x
  2. Step 2: Convert to fraction form
    13,762.88/19,150.13 = 19,150.13/x
  3. Step 3: Cross multiply
    13,762.88x = 19,150.13 × 19,150.13
  4. Step 4: Simplify right side
    13,762.88x = 366,727,287.52
  5. Step 5: Solve for x
    x = 366,727,287.52/13,762.88
  6. Step 6: Final answer
    x = 26,646.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.