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Finding the Third Proportional to 24,075 and 42,318

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Solution

The third proportional to 24,075 and 42,318 is: 74,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075 : 42,318 = 42,318 : x
  2. Step 2: Convert to fraction form
    24,075/42,318 = 42,318/x
  3. Step 3: Cross multiply
    24,075x = 42,318 × 42,318
  4. Step 4: Simplify right side
    24,075x = 1,790,813,124
  5. Step 5: Solve for x
    x = 1,790,813,124/24,075
  6. Step 6: Final answer
    x = 74,384.76

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.