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Finding the Third Proportional to 19,633 and 29,859

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Solution

The third proportional to 19,633 and 29,859 is: 45,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633 : 29,859 = 29,859 : x
  2. Step 2: Convert to fraction form
    19,633/29,859 = 29,859/x
  3. Step 3: Cross multiply
    19,633x = 29,859 × 29,859
  4. Step 4: Simplify right side
    19,633x = 891,559,881
  5. Step 5: Solve for x
    x = 891,559,881/19,633
  6. Step 6: Final answer
    x = 45,411.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.