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Finding the Third Proportional to 4,140 and 4,653

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Solution

The third proportional to 4,140 and 4,653 is: 5,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 4,653 = 4,653 : x
  2. Step 2: Convert to fraction form
    4,140/4,653 = 4,653/x
  3. Step 3: Cross multiply
    4,140x = 4,653 × 4,653
  4. Step 4: Simplify right side
    4,140x = 21,650,409
  5. Step 5: Solve for x
    x = 21,650,409/4,140
  6. Step 6: Final answer
    x = 5,229.57

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.