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Finding the Third Proportional to 19,019 and 29,276

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Solution

The third proportional to 19,019 and 29,276 is: 45,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019 : 29,276 = 29,276 : x
  2. Step 2: Convert to fraction form
    19,019/29,276 = 29,276/x
  3. Step 3: Cross multiply
    19,019x = 29,276 × 29,276
  4. Step 4: Simplify right side
    19,019x = 857,084,176
  5. Step 5: Solve for x
    x = 857,084,176/19,019
  6. Step 6: Final answer
    x = 45,064.63

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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.