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Finding the Third Proportional to 22,114 and 46,724

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Solution

The third proportional to 22,114 and 46,724 is: 98,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114 : 46,724 = 46,724 : x
  2. Step 2: Convert to fraction form
    22,114/46,724 = 46,724/x
  3. Step 3: Cross multiply
    22,114x = 46,724 × 46,724
  4. Step 4: Simplify right side
    22,114x = 2,183,132,176
  5. Step 5: Solve for x
    x = 2,183,132,176/22,114
  6. Step 6: Final answer
    x = 98,721.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.