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Finding the Third Proportional to 14,777 and 32,014

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Solution

The third proportional to 14,777 and 32,014 is: 69,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777 : 32,014 = 32,014 : x
  2. Step 2: Convert to fraction form
    14,777/32,014 = 32,014/x
  3. Step 3: Cross multiply
    14,777x = 32,014 × 32,014
  4. Step 4: Simplify right side
    14,777x = 1,024,896,196
  5. Step 5: Solve for x
    x = 1,024,896,196/14,777
  6. Step 6: Final answer
    x = 69,357.53

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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.