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Finding the Third Proportional to 24,051.75 and 28,209.75

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Solution

The third proportional to 24,051.75 and 28,209.75 is: 33,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051.75 : 28,209.75 = 28,209.75 : x
  2. Step 2: Convert to fraction form
    24,051.75/28,209.75 = 28,209.75/x
  3. Step 3: Cross multiply
    24,051.75x = 28,209.75 × 28,209.75
  4. Step 4: Simplify right side
    24,051.75x = 795,789,995.06
  5. Step 5: Solve for x
    x = 795,789,995.06/24,051.75
  6. Step 6: Final answer
    x = 33,086.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.