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Finding the Third Proportional to 43,296 and 64,944

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Solution

The third proportional to 43,296 and 64,944 is: 97,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,296 : 64,944 = 64,944 : x
  2. Step 2: Convert to fraction form
    43,296/64,944 = 64,944/x
  3. Step 3: Cross multiply
    43,296x = 64,944 × 64,944
  4. Step 4: Simplify right side
    43,296x = 4,217,723,136
  5. Step 5: Solve for x
    x = 4,217,723,136/43,296
  6. Step 6: Final answer
    x = 97,416

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.