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Finding the Third Proportional to 17,946 and 25,147.75

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Solution

The third proportional to 17,946 and 25,147.75 is: 35,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946 : 25,147.75 = 25,147.75 : x
  2. Step 2: Convert to fraction form
    17,946/25,147.75 = 25,147.75/x
  3. Step 3: Cross multiply
    17,946x = 25,147.75 × 25,147.75
  4. Step 4: Simplify right side
    17,946x = 632,409,330.06
  5. Step 5: Solve for x
    x = 632,409,330.06/17,946
  6. Step 6: Final answer
    x = 35,239.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.