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Finding the Third Proportional to 6,450 and 7,730

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Solution

The third proportional to 6,450 and 7,730 is: 9,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450 : 7,730 = 7,730 : x
  2. Step 2: Convert to fraction form
    6,450/7,730 = 7,730/x
  3. Step 3: Cross multiply
    6,450x = 7,730 × 7,730
  4. Step 4: Simplify right side
    6,450x = 59,752,900
  5. Step 5: Solve for x
    x = 59,752,900/6,450
  6. Step 6: Final answer
    x = 9,264.02

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.