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Finding the Third Proportional to 14,219 and 30,959

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Solution

The third proportional to 14,219 and 30,959 is: 67,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219 : 30,959 = 30,959 : x
  2. Step 2: Convert to fraction form
    14,219/30,959 = 30,959/x
  3. Step 3: Cross multiply
    14,219x = 30,959 × 30,959
  4. Step 4: Simplify right side
    14,219x = 958,459,681
  5. Step 5: Solve for x
    x = 958,459,681/14,219
  6. Step 6: Final answer
    x = 67,406.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.