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Finding the Third Proportional to 12,157 and 26,563

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Solution

The third proportional to 12,157 and 26,563 is: 58,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157 : 26,563 = 26,563 : x
  2. Step 2: Convert to fraction form
    12,157/26,563 = 26,563/x
  3. Step 3: Cross multiply
    12,157x = 26,563 × 26,563
  4. Step 4: Simplify right side
    12,157x = 705,592,969
  5. Step 5: Solve for x
    x = 705,592,969/12,157
  6. Step 6: Final answer
    x = 58,040.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.