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Finding the Third Proportional to 25,911.75 and 55,959

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Solution

The third proportional to 25,911.75 and 55,959 is: 120,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.75 : 55,959 = 55,959 : x
  2. Step 2: Convert to fraction form
    25,911.75/55,959 = 55,959/x
  3. Step 3: Cross multiply
    25,911.75x = 55,959 × 55,959
  4. Step 4: Simplify right side
    25,911.75x = 3,131,409,681
  5. Step 5: Solve for x
    x = 3,131,409,681/25,911.75
  6. Step 6: Final answer
    x = 120,849.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.