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Finding the Third Proportional to 19,964 and 30,554

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Solution

The third proportional to 19,964 and 30,554 is: 46,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964 : 30,554 = 30,554 : x
  2. Step 2: Convert to fraction form
    19,964/30,554 = 30,554/x
  3. Step 3: Cross multiply
    19,964x = 30,554 × 30,554
  4. Step 4: Simplify right side
    19,964x = 933,546,916
  5. Step 5: Solve for x
    x = 933,546,916/19,964
  6. Step 6: Final answer
    x = 46,761.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.