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Finding the Third Proportional to 14,263 and 34,361

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Solution

The third proportional to 14,263 and 34,361 is: 82,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263 : 34,361 = 34,361 : x
  2. Step 2: Convert to fraction form
    14,263/34,361 = 34,361/x
  3. Step 3: Cross multiply
    14,263x = 34,361 × 34,361
  4. Step 4: Simplify right side
    14,263x = 1,180,678,321
  5. Step 5: Solve for x
    x = 1,180,678,321/14,263
  6. Step 6: Final answer
    x = 82,779.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.