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Finding the Third Proportional to 19,016 and 29,271

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Solution

The third proportional to 19,016 and 29,271 is: 45,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,016 : 29,271 = 29,271 : x
  2. Step 2: Convert to fraction form
    19,016/29,271 = 29,271/x
  3. Step 3: Cross multiply
    19,016x = 29,271 × 29,271
  4. Step 4: Simplify right side
    19,016x = 856,791,441
  5. Step 5: Solve for x
    x = 856,791,441/19,016
  6. Step 6: Final answer
    x = 45,056.34

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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.