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Finding the Third Proportional to 12,071.81 and 26,735.63

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Solution

The third proportional to 12,071.81 and 26,735.63 is: 59,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.81 : 26,735.63 = 26,735.63 : x
  2. Step 2: Convert to fraction form
    12,071.81/26,735.63 = 26,735.63/x
  3. Step 3: Cross multiply
    12,071.81x = 26,735.63 × 26,735.63
  4. Step 4: Simplify right side
    12,071.81x = 714,793,644.14
  5. Step 5: Solve for x
    x = 714,793,644.14/12,071.81
  6. Step 6: Final answer
    x = 59,211.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.