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Finding the Third Proportional to 18,942 and 28,045.50

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Solution

The third proportional to 18,942 and 28,045.50 is: 41,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942 : 28,045.50 = 28,045.50 : x
  2. Step 2: Convert to fraction form
    18,942/28,045.50 = 28,045.50/x
  3. Step 3: Cross multiply
    18,942x = 28,045.50 × 28,045.50
  4. Step 4: Simplify right side
    18,942x = 786,550,070.25
  5. Step 5: Solve for x
    x = 786,550,070.25/18,942
  6. Step 6: Final answer
    x = 41,524.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.