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Finding the Third Proportional to 4,594 and 8,196

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Solution

The third proportional to 4,594 and 8,196 is: 14,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594 : 8,196 = 8,196 : x
  2. Step 2: Convert to fraction form
    4,594/8,196 = 8,196/x
  3. Step 3: Cross multiply
    4,594x = 8,196 × 8,196
  4. Step 4: Simplify right side
    4,594x = 67,174,416
  5. Step 5: Solve for x
    x = 67,174,416/4,594
  6. Step 6: Final answer
    x = 14,622.21

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.