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Finding the Third Proportional to 4,656 and 8,320

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Solution

The third proportional to 4,656 and 8,320 is: 14,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656 : 8,320 = 8,320 : x
  2. Step 2: Convert to fraction form
    4,656/8,320 = 8,320/x
  3. Step 3: Cross multiply
    4,656x = 8,320 × 8,320
  4. Step 4: Simplify right side
    4,656x = 69,222,400
  5. Step 5: Solve for x
    x = 69,222,400/4,656
  6. Step 6: Final answer
    x = 14,867.35

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.