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Finding the Third Proportional to 10,054 and 16,814.50

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Solution

The third proportional to 10,054 and 16,814.50 is: 28,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 16,814.50 = 16,814.50 : x
  2. Step 2: Convert to fraction form
    10,054/16,814.50 = 16,814.50/x
  3. Step 3: Cross multiply
    10,054x = 16,814.50 × 16,814.50
  4. Step 4: Simplify right side
    10,054x = 282,727,410.25
  5. Step 5: Solve for x
    x = 282,727,410.25/10,054
  6. Step 6: Final answer
    x = 28,120.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.