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Finding the Third Proportional to 25,914 and 55,514

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Solution

The third proportional to 25,914 and 55,514 is: 118,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 55,514 = 55,514 : x
  2. Step 2: Convert to fraction form
    25,914/55,514 = 55,514/x
  3. Step 3: Cross multiply
    25,914x = 55,514 × 55,514
  4. Step 4: Simplify right side
    25,914x = 3,081,804,196
  5. Step 5: Solve for x
    x = 3,081,804,196/25,914
  6. Step 6: Final answer
    x = 118,924.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.