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Finding the Third Proportional to 10,047 and 21,880.50

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Solution

The third proportional to 10,047 and 21,880.50 is: 47,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047 : 21,880.50 = 21,880.50 : x
  2. Step 2: Convert to fraction form
    10,047/21,880.50 = 21,880.50/x
  3. Step 3: Cross multiply
    10,047x = 21,880.50 × 21,880.50
  4. Step 4: Simplify right side
    10,047x = 478,756,280.25
  5. Step 5: Solve for x
    x = 478,756,280.25/10,047
  6. Step 6: Final answer
    x = 47,651.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.