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Finding the Third Proportional to 23,428 and 50,438

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Solution

The third proportional to 23,428 and 50,438 is: 108,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428 : 50,438 = 50,438 : x
  2. Step 2: Convert to fraction form
    23,428/50,438 = 50,438/x
  3. Step 3: Cross multiply
    23,428x = 50,438 × 50,438
  4. Step 4: Simplify right side
    23,428x = 2,543,991,844
  5. Step 5: Solve for x
    x = 2,543,991,844/23,428
  6. Step 6: Final answer
    x = 108,587.67

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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.