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Finding the Third Proportional to 25,148.25 and 34,634.25

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Solution

The third proportional to 25,148.25 and 34,634.25 is: 47,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.25 : 34,634.25 = 34,634.25 : x
  2. Step 2: Convert to fraction form
    25,148.25/34,634.25 = 34,634.25/x
  3. Step 3: Cross multiply
    25,148.25x = 34,634.25 × 34,634.25
  4. Step 4: Simplify right side
    25,148.25x = 1,199,531,273.06
  5. Step 5: Solve for x
    x = 1,199,531,273.06/25,148.25
  6. Step 6: Final answer
    x = 47,698.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.