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Finding the Third Proportional to 21,269.25 and 31,289.63

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Solution

The third proportional to 21,269.25 and 31,289.63 is: 46,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.25 : 31,289.63 = 31,289.63 : x
  2. Step 2: Convert to fraction form
    21,269.25/31,289.63 = 31,289.63/x
  3. Step 3: Cross multiply
    21,269.25x = 31,289.63 × 31,289.63
  4. Step 4: Simplify right side
    21,269.25x = 979,040,632.64
  5. Step 5: Solve for x
    x = 979,040,632.64/21,269.25
  6. Step 6: Final answer
    x = 46,030.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.