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Finding the Third Proportional to 14,382 and 30,764

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Solution

The third proportional to 14,382 and 30,764 is: 65,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 30,764 = 30,764 : x
  2. Step 2: Convert to fraction form
    14,382/30,764 = 30,764/x
  3. Step 3: Cross multiply
    14,382x = 30,764 × 30,764
  4. Step 4: Simplify right side
    14,382x = 946,423,696
  5. Step 5: Solve for x
    x = 946,423,696/14,382
  6. Step 6: Final answer
    x = 65,806.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.