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Finding the Third Proportional to 19,984 and 43,724

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Solution

The third proportional to 19,984 and 43,724 is: 95,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 43,724 = 43,724 : x
  2. Step 2: Convert to fraction form
    19,984/43,724 = 43,724/x
  3. Step 3: Cross multiply
    19,984x = 43,724 × 43,724
  4. Step 4: Simplify right side
    19,984x = 1,911,788,176
  5. Step 5: Solve for x
    x = 1,911,788,176/19,984
  6. Step 6: Final answer
    x = 95,665.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.