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Finding the Third Proportional to 34,569 and 51,899

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Solution

The third proportional to 34,569 and 51,899 is: 77,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569 : 51,899 = 51,899 : x
  2. Step 2: Convert to fraction form
    34,569/51,899 = 51,899/x
  3. Step 3: Cross multiply
    34,569x = 51,899 × 51,899
  4. Step 4: Simplify right side
    34,569x = 2,693,506,201
  5. Step 5: Solve for x
    x = 2,693,506,201/34,569
  6. Step 6: Final answer
    x = 77,916.81

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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.