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Finding the Third Proportional to 34,257 and 53,015

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Solution

The third proportional to 34,257 and 53,015 is: 82,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,257 : 53,015 = 53,015 : x
  2. Step 2: Convert to fraction form
    34,257/53,015 = 53,015/x
  3. Step 3: Cross multiply
    34,257x = 53,015 × 53,015
  4. Step 4: Simplify right side
    34,257x = 2,810,590,225
  5. Step 5: Solve for x
    x = 2,810,590,225/34,257
  6. Step 6: Final answer
    x = 82,044.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.