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Finding the Third Proportional to 25,263 and 53,958

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Solution

The third proportional to 25,263 and 53,958 is: 115,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,263 : 53,958 = 53,958 : x
  2. Step 2: Convert to fraction form
    25,263/53,958 = 53,958/x
  3. Step 3: Cross multiply
    25,263x = 53,958 × 53,958
  4. Step 4: Simplify right side
    25,263x = 2,911,465,764
  5. Step 5: Solve for x
    x = 2,911,465,764/25,263
  6. Step 6: Final answer
    x = 115,246.24

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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.