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Finding the Third Proportional to 12,393 and 25,619.63

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Solution

The third proportional to 12,393 and 25,619.63 is: 52,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 25,619.63 = 25,619.63 : x
  2. Step 2: Convert to fraction form
    12,393/25,619.63 = 25,619.63/x
  3. Step 3: Cross multiply
    12,393x = 25,619.63 × 25,619.63
  4. Step 4: Simplify right side
    12,393x = 656,365,185.14
  5. Step 5: Solve for x
    x = 656,365,185.14/12,393
  6. Step 6: Final answer
    x = 52,962.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.