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Finding the Third Proportional to 7,708 and 16,304

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Solution

The third proportional to 7,708 and 16,304 is: 34,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 16,304 = 16,304 : x
  2. Step 2: Convert to fraction form
    7,708/16,304 = 16,304/x
  3. Step 3: Cross multiply
    7,708x = 16,304 × 16,304
  4. Step 4: Simplify right side
    7,708x = 265,820,416
  5. Step 5: Solve for x
    x = 265,820,416/7,708
  6. Step 6: Final answer
    x = 34,486.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.