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Finding the Third Proportional to 23,580 and 35,367.75

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Solution

The third proportional to 23,580 and 35,367.75 is: 53,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580 : 35,367.75 = 35,367.75 : x
  2. Step 2: Convert to fraction form
    23,580/35,367.75 = 35,367.75/x
  3. Step 3: Cross multiply
    23,580x = 35,367.75 × 35,367.75
  4. Step 4: Simplify right side
    23,580x = 1,250,877,740.06
  5. Step 5: Solve for x
    x = 1,250,877,740.06/23,580
  6. Step 6: Final answer
    x = 53,048.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.