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Finding the Third Proportional to 19,447.59 and 30,083.06

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Solution

The third proportional to 19,447.59 and 30,083.06 is: 46,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447.59 : 30,083.06 = 30,083.06 : x
  2. Step 2: Convert to fraction form
    19,447.59/30,083.06 = 30,083.06/x
  3. Step 3: Cross multiply
    19,447.59x = 30,083.06 × 30,083.06
  4. Step 4: Simplify right side
    19,447.59x = 904,990,649.38
  5. Step 5: Solve for x
    x = 904,990,649.38/19,447.59
  6. Step 6: Final answer
    x = 46,534.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.