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Finding the Third Proportional to 19,237 and 29,111

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Solution

The third proportional to 19,237 and 29,111 is: 44,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237 : 29,111 = 29,111 : x
  2. Step 2: Convert to fraction form
    19,237/29,111 = 29,111/x
  3. Step 3: Cross multiply
    19,237x = 29,111 × 29,111
  4. Step 4: Simplify right side
    19,237x = 847,450,321
  5. Step 5: Solve for x
    x = 847,450,321/19,237
  6. Step 6: Final answer
    x = 44,053.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.