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Finding the Third Proportional to 29,136 and 43,946

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Solution

The third proportional to 29,136 and 43,946 is: 66,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,136 : 43,946 = 43,946 : x
  2. Step 2: Convert to fraction form
    29,136/43,946 = 43,946/x
  3. Step 3: Cross multiply
    29,136x = 43,946 × 43,946
  4. Step 4: Simplify right side
    29,136x = 1,931,250,916
  5. Step 5: Solve for x
    x = 1,931,250,916/29,136
  6. Step 6: Final answer
    x = 66,284.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.