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Finding the Third Proportional to 27,798 and 60,429

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Solution

The third proportional to 27,798 and 60,429 is: 131,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798 : 60,429 = 60,429 : x
  2. Step 2: Convert to fraction form
    27,798/60,429 = 60,429/x
  3. Step 3: Cross multiply
    27,798x = 60,429 × 60,429
  4. Step 4: Simplify right side
    27,798x = 3,651,664,041
  5. Step 5: Solve for x
    x = 3,651,664,041/27,798
  6. Step 6: Final answer
    x = 131,364.27

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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.