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Finding the Third Proportional to 4,152 and 7,656

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Solution

The third proportional to 4,152 and 7,656 is: 14,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152 : 7,656 = 7,656 : x
  2. Step 2: Convert to fraction form
    4,152/7,656 = 7,656/x
  3. Step 3: Cross multiply
    4,152x = 7,656 × 7,656
  4. Step 4: Simplify right side
    4,152x = 58,614,336
  5. Step 5: Solve for x
    x = 58,614,336/4,152
  6. Step 6: Final answer
    x = 14,117.13

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.