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Finding the Third Proportional to 5,735 and 8,988

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Solution

The third proportional to 5,735 and 8,988 is: 14,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735 : 8,988 = 8,988 : x
  2. Step 2: Convert to fraction form
    5,735/8,988 = 8,988/x
  3. Step 3: Cross multiply
    5,735x = 8,988 × 8,988
  4. Step 4: Simplify right side
    5,735x = 80,784,144
  5. Step 5: Solve for x
    x = 80,784,144/5,735
  6. Step 6: Final answer
    x = 14,086.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.