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Finding the Third Proportional to 9,988 and 16,582

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Solution

The third proportional to 9,988 and 16,582 is: 27,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988 : 16,582 = 16,582 : x
  2. Step 2: Convert to fraction form
    9,988/16,582 = 16,582/x
  3. Step 3: Cross multiply
    9,988x = 16,582 × 16,582
  4. Step 4: Simplify right side
    9,988x = 274,962,724
  5. Step 5: Solve for x
    x = 274,962,724/9,988
  6. Step 6: Final answer
    x = 27,529.31

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.