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Finding the Third Proportional to 19,214 and 39,758

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Solution

The third proportional to 19,214 and 39,758 is: 82,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214 : 39,758 = 39,758 : x
  2. Step 2: Convert to fraction form
    19,214/39,758 = 39,758/x
  3. Step 3: Cross multiply
    19,214x = 39,758 × 39,758
  4. Step 4: Simplify right side
    19,214x = 1,580,698,564
  5. Step 5: Solve for x
    x = 1,580,698,564/19,214
  6. Step 6: Final answer
    x = 82,268.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.