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Finding the Third Proportional to 21,610 and 46,909

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Solution

The third proportional to 21,610 and 46,909 is: 101,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610 : 46,909 = 46,909 : x
  2. Step 2: Convert to fraction form
    21,610/46,909 = 46,909/x
  3. Step 3: Cross multiply
    21,610x = 46,909 × 46,909
  4. Step 4: Simplify right side
    21,610x = 2,200,454,281
  5. Step 5: Solve for x
    x = 2,200,454,281/21,610
  6. Step 6: Final answer
    x = 101,825.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.