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Finding the Third Proportional to 19,071 and 23,391

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Solution

The third proportional to 19,071 and 23,391 is: 28,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071 : 23,391 = 23,391 : x
  2. Step 2: Convert to fraction form
    19,071/23,391 = 23,391/x
  3. Step 3: Cross multiply
    19,071x = 23,391 × 23,391
  4. Step 4: Simplify right side
    19,071x = 547,138,881
  5. Step 5: Solve for x
    x = 547,138,881/19,071
  6. Step 6: Final answer
    x = 28,689.57

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.