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Finding the Third Proportional to 25,400.25 and 34,263

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Solution

The third proportional to 25,400.25 and 34,263 is: 46,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400.25 : 34,263 = 34,263 : x
  2. Step 2: Convert to fraction form
    25,400.25/34,263 = 34,263/x
  3. Step 3: Cross multiply
    25,400.25x = 34,263 × 34,263
  4. Step 4: Simplify right side
    25,400.25x = 1,173,953,169
  5. Step 5: Solve for x
    x = 1,173,953,169/25,400.25
  6. Step 6: Final answer
    x = 46,218.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.