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Finding the Third Proportional to 4,643 and 5,453

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Solution

The third proportional to 4,643 and 5,453 is: 6,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643 : 5,453 = 5,453 : x
  2. Step 2: Convert to fraction form
    4,643/5,453 = 5,453/x
  3. Step 3: Cross multiply
    4,643x = 5,453 × 5,453
  4. Step 4: Simplify right side
    4,643x = 29,735,209
  5. Step 5: Solve for x
    x = 29,735,209/4,643
  6. Step 6: Final answer
    x = 6,404.31

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.