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Finding the Third Proportional to 19,840 and 41,724

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Solution

The third proportional to 19,840 and 41,724 is: 87,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840 : 41,724 = 41,724 : x
  2. Step 2: Convert to fraction form
    19,840/41,724 = 41,724/x
  3. Step 3: Cross multiply
    19,840x = 41,724 × 41,724
  4. Step 4: Simplify right side
    19,840x = 1,740,892,176
  5. Step 5: Solve for x
    x = 1,740,892,176/19,840
  6. Step 6: Final answer
    x = 87,746.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.