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Finding the Third Proportional to 29,953 and 46,389

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Solution

The third proportional to 29,953 and 46,389 is: 71,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953 : 46,389 = 46,389 : x
  2. Step 2: Convert to fraction form
    29,953/46,389 = 46,389/x
  3. Step 3: Cross multiply
    29,953x = 46,389 × 46,389
  4. Step 4: Simplify right side
    29,953x = 2,151,939,321
  5. Step 5: Solve for x
    x = 2,151,939,321/29,953
  6. Step 6: Final answer
    x = 71,843.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.