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Finding the Third Proportional to 14,075 and 30,382

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Solution

The third proportional to 14,075 and 30,382 is: 65,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075 : 30,382 = 30,382 : x
  2. Step 2: Convert to fraction form
    14,075/30,382 = 30,382/x
  3. Step 3: Cross multiply
    14,075x = 30,382 × 30,382
  4. Step 4: Simplify right side
    14,075x = 923,065,924
  5. Step 5: Solve for x
    x = 923,065,924/14,075
  6. Step 6: Final answer
    x = 65,581.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.