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Finding the Third Proportional to 19,209 and 29,633

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Solution

The third proportional to 19,209 and 29,633 is: 45,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 29,633 = 29,633 : x
  2. Step 2: Convert to fraction form
    19,209/29,633 = 29,633/x
  3. Step 3: Cross multiply
    19,209x = 29,633 × 29,633
  4. Step 4: Simplify right side
    19,209x = 878,114,689
  5. Step 5: Solve for x
    x = 878,114,689/19,209
  6. Step 6: Final answer
    x = 45,713.71

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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.