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Finding the Third Proportional to 43,877.50 and 103,475

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Solution

The third proportional to 43,877.50 and 103,475 is: 244,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,877.50 : 103,475 = 103,475 : x
  2. Step 2: Convert to fraction form
    43,877.50/103,475 = 103,475/x
  3. Step 3: Cross multiply
    43,877.50x = 103,475 × 103,475
  4. Step 4: Simplify right side
    43,877.50x = 10,707,075,625
  5. Step 5: Solve for x
    x = 10,707,075,625/43,877.50
  6. Step 6: Final answer
    x = 244,022.01

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.