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Finding the Third Proportional to 34,294.50 and 53,075.25

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Solution

The third proportional to 34,294.50 and 53,075.25 is: 82,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.50 : 53,075.25 = 53,075.25 : x
  2. Step 2: Convert to fraction form
    34,294.50/53,075.25 = 53,075.25/x
  3. Step 3: Cross multiply
    34,294.50x = 53,075.25 × 53,075.25
  4. Step 4: Simplify right side
    34,294.50x = 2,816,982,162.56
  5. Step 5: Solve for x
    x = 2,816,982,162.56/34,294.50
  6. Step 6: Final answer
    x = 82,140.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.