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Finding the Third Proportional to 14,094.50 and 20,733.50

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Solution

The third proportional to 14,094.50 and 20,733.50 is: 30,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.50 : 20,733.50 = 20,733.50 : x
  2. Step 2: Convert to fraction form
    14,094.50/20,733.50 = 20,733.50/x
  3. Step 3: Cross multiply
    14,094.50x = 20,733.50 × 20,733.50
  4. Step 4: Simplify right side
    14,094.50x = 429,878,022.25
  5. Step 5: Solve for x
    x = 429,878,022.25/14,094.50
  6. Step 6: Final answer
    x = 30,499.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.