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Finding the Third Proportional to 5,724 and 12,309.75

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Solution

The third proportional to 5,724 and 12,309.75 is: 26,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 12,309.75 = 12,309.75 : x
  2. Step 2: Convert to fraction form
    5,724/12,309.75 = 12,309.75/x
  3. Step 3: Cross multiply
    5,724x = 12,309.75 × 12,309.75
  4. Step 4: Simplify right side
    5,724x = 151,529,945.06
  5. Step 5: Solve for x
    x = 151,529,945.06/5,724
  6. Step 6: Final answer
    x = 26,472.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.