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Finding the Third Proportional to 29,868 and 46,617

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Solution

The third proportional to 29,868 and 46,617 is: 72,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868 : 46,617 = 46,617 : x
  2. Step 2: Convert to fraction form
    29,868/46,617 = 46,617/x
  3. Step 3: Cross multiply
    29,868x = 46,617 × 46,617
  4. Step 4: Simplify right side
    29,868x = 2,173,144,689
  5. Step 5: Solve for x
    x = 2,173,144,689/29,868
  6. Step 6: Final answer
    x = 72,758.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.