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Finding the Third Proportional to 4,516 and 6,610

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Solution

The third proportional to 4,516 and 6,610 is: 9,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516 : 6,610 = 6,610 : x
  2. Step 2: Convert to fraction form
    4,516/6,610 = 6,610/x
  3. Step 3: Cross multiply
    4,516x = 6,610 × 6,610
  4. Step 4: Simplify right side
    4,516x = 43,692,100
  5. Step 5: Solve for x
    x = 43,692,100/4,516
  6. Step 6: Final answer
    x = 9,674.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.