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Finding the Third Proportional to 5,972 and 9,304

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Solution

The third proportional to 5,972 and 9,304 is: 14,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 9,304 = 9,304 : x
  2. Step 2: Convert to fraction form
    5,972/9,304 = 9,304/x
  3. Step 3: Cross multiply
    5,972x = 9,304 × 9,304
  4. Step 4: Simplify right side
    5,972x = 86,564,416
  5. Step 5: Solve for x
    x = 86,564,416/5,972
  6. Step 6: Final answer
    x = 14,495.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.