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Finding the Third Proportional to 51,576 and 69,588

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Solution

The third proportional to 51,576 and 69,588 is: 93,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,576 : 69,588 = 69,588 : x
  2. Step 2: Convert to fraction form
    51,576/69,588 = 69,588/x
  3. Step 3: Cross multiply
    51,576x = 69,588 × 69,588
  4. Step 4: Simplify right side
    51,576x = 4,842,489,744
  5. Step 5: Solve for x
    x = 4,842,489,744/51,576
  6. Step 6: Final answer
    x = 93,890.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.