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Finding the Third Proportional to 13,145.25 and 19,874.63

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Solution

The third proportional to 13,145.25 and 19,874.63 is: 30,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.25 : 19,874.63 = 19,874.63 : x
  2. Step 2: Convert to fraction form
    13,145.25/19,874.63 = 19,874.63/x
  3. Step 3: Cross multiply
    13,145.25x = 19,874.63 × 19,874.63
  4. Step 4: Simplify right side
    13,145.25x = 395,000,718.89
  5. Step 5: Solve for x
    x = 395,000,718.89/13,145.25
  6. Step 6: Final answer
    x = 30,048.93

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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.