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Finding the Third Proportional to 23,544 and 37,509.75

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Solution

The third proportional to 23,544 and 37,509.75 is: 59,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 37,509.75 = 37,509.75 : x
  2. Step 2: Convert to fraction form
    23,544/37,509.75 = 37,509.75/x
  3. Step 3: Cross multiply
    23,544x = 37,509.75 × 37,509.75
  4. Step 4: Simplify right side
    23,544x = 1,406,981,345.06
  5. Step 5: Solve for x
    x = 1,406,981,345.06/23,544
  6. Step 6: Final answer
    x = 59,759.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.