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Finding the Third Proportional to 19,216 and 29,672

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Solution

The third proportional to 19,216 and 29,672 is: 45,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 29,672 = 29,672 : x
  2. Step 2: Convert to fraction form
    19,216/29,672 = 29,672/x
  3. Step 3: Cross multiply
    19,216x = 29,672 × 29,672
  4. Step 4: Simplify right side
    19,216x = 880,427,584
  5. Step 5: Solve for x
    x = 880,427,584/19,216
  6. Step 6: Final answer
    x = 45,817.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.