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Finding the Third Proportional to 15,316 and 32,012

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Solution

The third proportional to 15,316 and 32,012 is: 66,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316 : 32,012 = 32,012 : x
  2. Step 2: Convert to fraction form
    15,316/32,012 = 32,012/x
  3. Step 3: Cross multiply
    15,316x = 32,012 × 32,012
  4. Step 4: Simplify right side
    15,316x = 1,024,768,144
  5. Step 5: Solve for x
    x = 1,024,768,144/15,316
  6. Step 6: Final answer
    x = 66,908.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.