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Finding the Third Proportional to 10,653 and 23,228.75

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Solution

The third proportional to 10,653 and 23,228.75 is: 50,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653 : 23,228.75 = 23,228.75 : x
  2. Step 2: Convert to fraction form
    10,653/23,228.75 = 23,228.75/x
  3. Step 3: Cross multiply
    10,653x = 23,228.75 × 23,228.75
  4. Step 4: Simplify right side
    10,653x = 539,574,826.56
  5. Step 5: Solve for x
    x = 539,574,826.56/10,653
  6. Step 6: Final answer
    x = 50,650.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.