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Finding the Third Proportional to 15,975 and 34,263

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Solution

The third proportional to 15,975 and 34,263 is: 73,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 34,263 = 34,263 : x
  2. Step 2: Convert to fraction form
    15,975/34,263 = 34,263/x
  3. Step 3: Cross multiply
    15,975x = 34,263 × 34,263
  4. Step 4: Simplify right side
    15,975x = 1,173,953,169
  5. Step 5: Solve for x
    x = 1,173,953,169/15,975
  6. Step 6: Final answer
    x = 73,486.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.