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Finding the Third Proportional to 10,062 and 14,143.50

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Solution

The third proportional to 10,062 and 14,143.50 is: 19,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062 : 14,143.50 = 14,143.50 : x
  2. Step 2: Convert to fraction form
    10,062/14,143.50 = 14,143.50/x
  3. Step 3: Cross multiply
    10,062x = 14,143.50 × 14,143.50
  4. Step 4: Simplify right side
    10,062x = 200,038,592.25
  5. Step 5: Solve for x
    x = 200,038,592.25/10,062
  6. Step 6: Final answer
    x = 19,880.60

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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.