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Finding the Third Proportional to 19,013 and 29,262

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Solution

The third proportional to 19,013 and 29,262 is: 45,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013 : 29,262 = 29,262 : x
  2. Step 2: Convert to fraction form
    19,013/29,262 = 29,262/x
  3. Step 3: Cross multiply
    19,013x = 29,262 × 29,262
  4. Step 4: Simplify right side
    19,013x = 856,264,644
  5. Step 5: Solve for x
    x = 856,264,644/19,013
  6. Step 6: Final answer
    x = 45,035.75

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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.