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Finding the Third Proportional to 34,844 and 53,085

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Solution

The third proportional to 34,844 and 53,085 is: 80,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,844 : 53,085 = 53,085 : x
  2. Step 2: Convert to fraction form
    34,844/53,085 = 53,085/x
  3. Step 3: Cross multiply
    34,844x = 53,085 × 53,085
  4. Step 4: Simplify right side
    34,844x = 2,818,017,225
  5. Step 5: Solve for x
    x = 2,818,017,225/34,844
  6. Step 6: Final answer
    x = 80,875.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.