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Finding the Third Proportional to 12,388.63 and 25,803.13

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Solution

The third proportional to 12,388.63 and 25,803.13 is: 53,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.63 : 25,803.13 = 25,803.13 : x
  2. Step 2: Convert to fraction form
    12,388.63/25,803.13 = 25,803.13/x
  3. Step 3: Cross multiply
    12,388.63x = 25,803.13 × 25,803.13
  4. Step 4: Simplify right side
    12,388.63x = 665,801,259.77
  5. Step 5: Solve for x
    x = 665,801,259.77/12,388.63
  6. Step 6: Final answer
    x = 53,742.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.