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Finding the Third Proportional to 8,101 and 19,073

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Solution

The third proportional to 8,101 and 19,073 is: 44,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101 : 19,073 = 19,073 : x
  2. Step 2: Convert to fraction form
    8,101/19,073 = 19,073/x
  3. Step 3: Cross multiply
    8,101x = 19,073 × 19,073
  4. Step 4: Simplify right side
    8,101x = 363,779,329
  5. Step 5: Solve for x
    x = 363,779,329/8,101
  6. Step 6: Final answer
    x = 44,905.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.