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Finding the Third Proportional to 29,596 and 43,944

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Solution

The third proportional to 29,596 and 43,944 is: 65,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596 : 43,944 = 43,944 : x
  2. Step 2: Convert to fraction form
    29,596/43,944 = 43,944/x
  3. Step 3: Cross multiply
    29,596x = 43,944 × 43,944
  4. Step 4: Simplify right side
    29,596x = 1,931,075,136
  5. Step 5: Solve for x
    x = 1,931,075,136/29,596
  6. Step 6: Final answer
    x = 65,247.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.