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Finding the Third Proportional to 12,573 and 24,828.75

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Solution

The third proportional to 12,573 and 24,828.75 is: 49,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573 : 24,828.75 = 24,828.75 : x
  2. Step 2: Convert to fraction form
    12,573/24,828.75 = 24,828.75/x
  3. Step 3: Cross multiply
    12,573x = 24,828.75 × 24,828.75
  4. Step 4: Simplify right side
    12,573x = 616,466,826.56
  5. Step 5: Solve for x
    x = 616,466,826.56/12,573
  6. Step 6: Final answer
    x = 49,031.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.