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Finding the Third Proportional to 38,075 and 55,813

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Solution

The third proportional to 38,075 and 55,813 is: 81,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075 : 55,813 = 55,813 : x
  2. Step 2: Convert to fraction form
    38,075/55,813 = 55,813/x
  3. Step 3: Cross multiply
    38,075x = 55,813 × 55,813
  4. Step 4: Simplify right side
    38,075x = 3,115,090,969
  5. Step 5: Solve for x
    x = 3,115,090,969/38,075
  6. Step 6: Final answer
    x = 81,814.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.