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Finding the Third Proportional to 19,353 and 42,438

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Solution

The third proportional to 19,353 and 42,438 is: 93,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,353 : 42,438 = 42,438 : x
  2. Step 2: Convert to fraction form
    19,353/42,438 = 42,438/x
  3. Step 3: Cross multiply
    19,353x = 42,438 × 42,438
  4. Step 4: Simplify right side
    19,353x = 1,800,983,844
  5. Step 5: Solve for x
    x = 1,800,983,844/19,353
  6. Step 6: Final answer
    x = 93,059.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.