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Finding the Third Proportional to 34,179 and 53,509

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Solution

The third proportional to 34,179 and 53,509 is: 83,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,179 : 53,509 = 53,509 : x
  2. Step 2: Convert to fraction form
    34,179/53,509 = 53,509/x
  3. Step 3: Cross multiply
    34,179x = 53,509 × 53,509
  4. Step 4: Simplify right side
    34,179x = 2,863,213,081
  5. Step 5: Solve for x
    x = 2,863,213,081/34,179
  6. Step 6: Final answer
    x = 83,771.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.