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Finding the Third Proportional to 14,186.50 and 20,887.50

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Solution

The third proportional to 14,186.50 and 20,887.50 is: 30,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.50 : 20,887.50 = 20,887.50 : x
  2. Step 2: Convert to fraction form
    14,186.50/20,887.50 = 20,887.50/x
  3. Step 3: Cross multiply
    14,186.50x = 20,887.50 × 20,887.50
  4. Step 4: Simplify right side
    14,186.50x = 436,287,656.25
  5. Step 5: Solve for x
    x = 436,287,656.25/14,186.50
  6. Step 6: Final answer
    x = 30,753.72

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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.