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Finding the Third Proportional to 19,897 and 31,057

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Solution

The third proportional to 19,897 and 31,057 is: 48,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897 : 31,057 = 31,057 : x
  2. Step 2: Convert to fraction form
    19,897/31,057 = 31,057/x
  3. Step 3: Cross multiply
    19,897x = 31,057 × 31,057
  4. Step 4: Simplify right side
    19,897x = 964,537,249
  5. Step 5: Solve for x
    x = 964,537,249/19,897
  6. Step 6: Final answer
    x = 48,476.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.