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Finding the Third Proportional to 19,531 and 31,053

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Solution

The third proportional to 19,531 and 31,053 is: 49,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531 : 31,053 = 31,053 : x
  2. Step 2: Convert to fraction form
    19,531/31,053 = 31,053/x
  3. Step 3: Cross multiply
    19,531x = 31,053 × 31,053
  4. Step 4: Simplify right side
    19,531x = 964,288,809
  5. Step 5: Solve for x
    x = 964,288,809/19,531
  6. Step 6: Final answer
    x = 49,372.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.