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Finding the Third Proportional to 51,579 and 69,592

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Solution

The third proportional to 51,579 and 69,592 is: 93,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,579 : 69,592 = 69,592 : x
  2. Step 2: Convert to fraction form
    51,579/69,592 = 69,592/x
  3. Step 3: Cross multiply
    51,579x = 69,592 × 69,592
  4. Step 4: Simplify right side
    51,579x = 4,843,046,464
  5. Step 5: Solve for x
    x = 4,843,046,464/51,579
  6. Step 6: Final answer
    x = 93,895.70

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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.