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Finding the Third Proportional to 27,431 and 59,023

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Solution

The third proportional to 27,431 and 59,023 is: 126,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431 : 59,023 = 59,023 : x
  2. Step 2: Convert to fraction form
    27,431/59,023 = 59,023/x
  3. Step 3: Cross multiply
    27,431x = 59,023 × 59,023
  4. Step 4: Simplify right side
    27,431x = 3,483,714,529
  5. Step 5: Solve for x
    x = 3,483,714,529/27,431
  6. Step 6: Final answer
    x = 126,999.18

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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.