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Finding the Third Proportional to 19,534 and 31,447

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Solution

The third proportional to 19,534 and 31,447 is: 50,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534 : 31,447 = 31,447 : x
  2. Step 2: Convert to fraction form
    19,534/31,447 = 31,447/x
  3. Step 3: Cross multiply
    19,534x = 31,447 × 31,447
  4. Step 4: Simplify right side
    19,534x = 988,913,809
  5. Step 5: Solve for x
    x = 988,913,809/19,534
  6. Step 6: Final answer
    x = 50,625.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.