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Finding the Third Proportional to 5,916.75 and 12,623

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Solution

The third proportional to 5,916.75 and 12,623 is: 26,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.75 : 12,623 = 12,623 : x
  2. Step 2: Convert to fraction form
    5,916.75/12,623 = 12,623/x
  3. Step 3: Cross multiply
    5,916.75x = 12,623 × 12,623
  4. Step 4: Simplify right side
    5,916.75x = 159,340,129
  5. Step 5: Solve for x
    x = 159,340,129/5,916.75
  6. Step 6: Final answer
    x = 26,930.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.