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Finding the Third Proportional to 51,064 and 76,644

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Solution

The third proportional to 51,064 and 76,644 is: 115,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,064 : 76,644 = 76,644 : x
  2. Step 2: Convert to fraction form
    51,064/76,644 = 76,644/x
  3. Step 3: Cross multiply
    51,064x = 76,644 × 76,644
  4. Step 4: Simplify right side
    51,064x = 5,874,302,736
  5. Step 5: Solve for x
    x = 5,874,302,736/51,064
  6. Step 6: Final answer
    x = 115,038.05

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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.