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Finding the Third Proportional to 29,622 and 46,897

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Solution

The third proportional to 29,622 and 46,897 is: 74,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,622 : 46,897 = 46,897 : x
  2. Step 2: Convert to fraction form
    29,622/46,897 = 46,897/x
  3. Step 3: Cross multiply
    29,622x = 46,897 × 46,897
  4. Step 4: Simplify right side
    29,622x = 2,199,328,609
  5. Step 5: Solve for x
    x = 2,199,328,609/29,622
  6. Step 6: Final answer
    x = 74,246.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.