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Finding the Third Proportional to 23,697 and 35,606.25

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Solution

The third proportional to 23,697 and 35,606.25 is: 53,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697 : 35,606.25 = 35,606.25 : x
  2. Step 2: Convert to fraction form
    23,697/35,606.25 = 35,606.25/x
  3. Step 3: Cross multiply
    23,697x = 35,606.25 × 35,606.25
  4. Step 4: Simplify right side
    23,697x = 1,267,805,039.06
  5. Step 5: Solve for x
    x = 1,267,805,039.06/23,697
  6. Step 6: Final answer
    x = 53,500.66

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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.