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Finding the Third Proportional to 21,971 and 46,858

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Solution

The third proportional to 21,971 and 46,858 is: 99,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971 : 46,858 = 46,858 : x
  2. Step 2: Convert to fraction form
    21,971/46,858 = 46,858/x
  3. Step 3: Cross multiply
    21,971x = 46,858 × 46,858
  4. Step 4: Simplify right side
    21,971x = 2,195,672,164
  5. Step 5: Solve for x
    x = 2,195,672,164/21,971
  6. Step 6: Final answer
    x = 99,935.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.