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Finding the Third Proportional to 15,075 and 24,139.50

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Solution

The third proportional to 15,075 and 24,139.50 is: 38,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 24,139.50 = 24,139.50 : x
  2. Step 2: Convert to fraction form
    15,075/24,139.50 = 24,139.50/x
  3. Step 3: Cross multiply
    15,075x = 24,139.50 × 24,139.50
  4. Step 4: Simplify right side
    15,075x = 582,715,460.25
  5. Step 5: Solve for x
    x = 582,715,460.25/15,075
  6. Step 6: Final answer
    x = 38,654.43

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.