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Finding the Third Proportional to 2,973 and 6,495

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Solution

The third proportional to 2,973 and 6,495 is: 14,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973 : 6,495 = 6,495 : x
  2. Step 2: Convert to fraction form
    2,973/6,495 = 6,495/x
  3. Step 3: Cross multiply
    2,973x = 6,495 × 6,495
  4. Step 4: Simplify right side
    2,973x = 42,185,025
  5. Step 5: Solve for x
    x = 42,185,025/2,973
  6. Step 6: Final answer
    x = 14,189.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.