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Finding the Third Proportional to 23,559 and 51,208.50

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Solution

The third proportional to 23,559 and 51,208.50 is: 111,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,559 : 51,208.50 = 51,208.50 : x
  2. Step 2: Convert to fraction form
    23,559/51,208.50 = 51,208.50/x
  3. Step 3: Cross multiply
    23,559x = 51,208.50 × 51,208.50
  4. Step 4: Simplify right side
    23,559x = 2,622,310,472.25
  5. Step 5: Solve for x
    x = 2,622,310,472.25/23,559
  6. Step 6: Final answer
    x = 111,308.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.