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Finding the Third Proportional to 29,617 and 46,889

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Solution

The third proportional to 29,617 and 46,889 is: 74,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,617 : 46,889 = 46,889 : x
  2. Step 2: Convert to fraction form
    29,617/46,889 = 46,889/x
  3. Step 3: Cross multiply
    29,617x = 46,889 × 46,889
  4. Step 4: Simplify right side
    29,617x = 2,198,578,321
  5. Step 5: Solve for x
    x = 2,198,578,321/29,617
  6. Step 6: Final answer
    x = 74,233.66

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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.