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Finding the Third Proportional to 19,984 and 31,346

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Solution

The third proportional to 19,984 and 31,346 is: 49,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 31,346 = 31,346 : x
  2. Step 2: Convert to fraction form
    19,984/31,346 = 31,346/x
  3. Step 3: Cross multiply
    19,984x = 31,346 × 31,346
  4. Step 4: Simplify right side
    19,984x = 982,571,716
  5. Step 5: Solve for x
    x = 982,571,716/19,984
  6. Step 6: Final answer
    x = 49,167.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.