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Finding the Third Proportional to 14,557 and 34,219

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Solution

The third proportional to 14,557 and 34,219 is: 80,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557 : 34,219 = 34,219 : x
  2. Step 2: Convert to fraction form
    14,557/34,219 = 34,219/x
  3. Step 3: Cross multiply
    14,557x = 34,219 × 34,219
  4. Step 4: Simplify right side
    14,557x = 1,170,939,961
  5. Step 5: Solve for x
    x = 1,170,939,961/14,557
  6. Step 6: Final answer
    x = 80,438.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.