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Finding the Third Proportional to 10,243 and 22,043

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Solution

The third proportional to 10,243 and 22,043 is: 47,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243 : 22,043 = 22,043 : x
  2. Step 2: Convert to fraction form
    10,243/22,043 = 22,043/x
  3. Step 3: Cross multiply
    10,243x = 22,043 × 22,043
  4. Step 4: Simplify right side
    10,243x = 485,893,849
  5. Step 5: Solve for x
    x = 485,893,849/10,243
  6. Step 6: Final answer
    x = 47,436.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.