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Finding the Third Proportional to 5,752 and 8,600

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Solution

The third proportional to 5,752 and 8,600 is: 12,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752 : 8,600 = 8,600 : x
  2. Step 2: Convert to fraction form
    5,752/8,600 = 8,600/x
  3. Step 3: Cross multiply
    5,752x = 8,600 × 8,600
  4. Step 4: Simplify right side
    5,752x = 73,960,000
  5. Step 5: Solve for x
    x = 73,960,000/5,752
  6. Step 6: Final answer
    x = 12,858.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.