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Finding the Third Proportional to 12,059.16 and 25,848.84

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Solution

The third proportional to 12,059.16 and 25,848.84 is: 55,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.16 : 25,848.84 = 25,848.84 : x
  2. Step 2: Convert to fraction form
    12,059.16/25,848.84 = 25,848.84/x
  3. Step 3: Cross multiply
    12,059.16x = 25,848.84 × 25,848.84
  4. Step 4: Simplify right side
    12,059.16x = 668,162,723.21
  5. Step 5: Solve for x
    x = 668,162,723.21/12,059.16
  6. Step 6: Final answer
    x = 55,407.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.