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Finding the Third Proportional to 8,030 and 19,346

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Solution

The third proportional to 8,030 and 19,346 is: 46,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030 : 19,346 = 19,346 : x
  2. Step 2: Convert to fraction form
    8,030/19,346 = 19,346/x
  3. Step 3: Cross multiply
    8,030x = 19,346 × 19,346
  4. Step 4: Simplify right side
    8,030x = 374,267,716
  5. Step 5: Solve for x
    x = 374,267,716/8,030
  6. Step 6: Final answer
    x = 46,608.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.