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Finding the Third Proportional to 7,764 and 17,382

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Solution

The third proportional to 7,764 and 17,382 is: 38,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 17,382 = 17,382 : x
  2. Step 2: Convert to fraction form
    7,764/17,382 = 17,382/x
  3. Step 3: Cross multiply
    7,764x = 17,382 × 17,382
  4. Step 4: Simplify right side
    7,764x = 302,133,924
  5. Step 5: Solve for x
    x = 302,133,924/7,764
  6. Step 6: Final answer
    x = 38,914.72

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.