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Finding the Third Proportional to 21,083 and 45,433

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Solution

The third proportional to 21,083 and 45,433 is: 97,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083 : 45,433 = 45,433 : x
  2. Step 2: Convert to fraction form
    21,083/45,433 = 45,433/x
  3. Step 3: Cross multiply
    21,083x = 45,433 × 45,433
  4. Step 4: Simplify right side
    21,083x = 2,064,157,489
  5. Step 5: Solve for x
    x = 2,064,157,489/21,083
  6. Step 6: Final answer
    x = 97,906.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.