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Finding the Third Proportional to 24,522.75 and 38,039.63

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Solution

The third proportional to 24,522.75 and 38,039.63 is: 59,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.75 : 38,039.63 = 38,039.63 : x
  2. Step 2: Convert to fraction form
    24,522.75/38,039.63 = 38,039.63/x
  3. Step 3: Cross multiply
    24,522.75x = 38,039.63 × 38,039.63
  4. Step 4: Simplify right side
    24,522.75x = 1,447,013,070.14
  5. Step 5: Solve for x
    x = 1,447,013,070.14/24,522.75
  6. Step 6: Final answer
    x = 59,006.97

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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.