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Finding the Third Proportional to 23,890 and 55,787

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Solution

The third proportional to 23,890 and 55,787 is: 130,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,890 : 55,787 = 55,787 : x
  2. Step 2: Convert to fraction form
    23,890/55,787 = 55,787/x
  3. Step 3: Cross multiply
    23,890x = 55,787 × 55,787
  4. Step 4: Simplify right side
    23,890x = 3,112,189,369
  5. Step 5: Solve for x
    x = 3,112,189,369/23,890
  6. Step 6: Final answer
    x = 130,271.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.