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Finding the Third Proportional to 23,514.75 and 34,485.75

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Solution

The third proportional to 23,514.75 and 34,485.75 is: 50,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.75 : 34,485.75 = 34,485.75 : x
  2. Step 2: Convert to fraction form
    23,514.75/34,485.75 = 34,485.75/x
  3. Step 3: Cross multiply
    23,514.75x = 34,485.75 × 34,485.75
  4. Step 4: Simplify right side
    23,514.75x = 1,189,266,953.06
  5. Step 5: Solve for x
    x = 1,189,266,953.06/23,514.75
  6. Step 6: Final answer
    x = 50,575.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.