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Finding the Third Proportional to 15,433 and 23,790.50

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Solution

The third proportional to 15,433 and 23,790.50 is: 36,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433 : 23,790.50 = 23,790.50 : x
  2. Step 2: Convert to fraction form
    15,433/23,790.50 = 23,790.50/x
  3. Step 3: Cross multiply
    15,433x = 23,790.50 × 23,790.50
  4. Step 4: Simplify right side
    15,433x = 565,987,890.25
  5. Step 5: Solve for x
    x = 565,987,890.25/15,433
  6. Step 6: Final answer
    x = 36,673.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.