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Finding the Third Proportional to 29,649.38 and 46,175.06

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Solution

The third proportional to 29,649.38 and 46,175.06 is: 71,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.38 : 46,175.06 = 46,175.06 : x
  2. Step 2: Convert to fraction form
    29,649.38/46,175.06 = 46,175.06/x
  3. Step 3: Cross multiply
    29,649.38x = 46,175.06 × 46,175.06
  4. Step 4: Simplify right side
    29,649.38x = 2,132,136,396.88
  5. Step 5: Solve for x
    x = 2,132,136,396.88/29,649.38
  6. Step 6: Final answer
    x = 71,911.68

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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.