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Finding the Third Proportional to 29,064 and 40,926

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Solution

The third proportional to 29,064 and 40,926 is: 57,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,064 : 40,926 = 40,926 : x
  2. Step 2: Convert to fraction form
    29,064/40,926 = 40,926/x
  3. Step 3: Cross multiply
    29,064x = 40,926 × 40,926
  4. Step 4: Simplify right side
    29,064x = 1,674,937,476
  5. Step 5: Solve for x
    x = 1,674,937,476/29,064
  6. Step 6: Final answer
    x = 57,629.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.