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Finding the Third Proportional to 17,825.63 and 38,039.63

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Solution

The third proportional to 17,825.63 and 38,039.63 is: 81,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.63 : 38,039.63 = 38,039.63 : x
  2. Step 2: Convert to fraction form
    17,825.63/38,039.63 = 38,039.63/x
  3. Step 3: Cross multiply
    17,825.63x = 38,039.63 × 38,039.63
  4. Step 4: Simplify right side
    17,825.63x = 1,447,013,070.14
  5. Step 5: Solve for x
    x = 1,447,013,070.14/17,825.63
  6. Step 6: Final answer
    x = 81,176.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.