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Finding the Third Proportional to 11,770 and 25,118

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Solution

The third proportional to 11,770 and 25,118 is: 53,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770 : 25,118 = 25,118 : x
  2. Step 2: Convert to fraction form
    11,770/25,118 = 25,118/x
  3. Step 3: Cross multiply
    11,770x = 25,118 × 25,118
  4. Step 4: Simplify right side
    11,770x = 630,913,924
  5. Step 5: Solve for x
    x = 630,913,924/11,770
  6. Step 6: Final answer
    x = 53,603.56

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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.