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Finding the Third Proportional to 10,047.50 and 14,153

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Solution

The third proportional to 10,047.50 and 14,153 is: 19,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.50 : 14,153 = 14,153 : x
  2. Step 2: Convert to fraction form
    10,047.50/14,153 = 14,153/x
  3. Step 3: Cross multiply
    10,047.50x = 14,153 × 14,153
  4. Step 4: Simplify right side
    10,047.50x = 200,307,409
  5. Step 5: Solve for x
    x = 200,307,409/10,047.50
  6. Step 6: Final answer
    x = 19,936.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.