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Finding the Third Proportional to 5,643 and 6,466.50

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Solution

The third proportional to 5,643 and 6,466.50 is: 7,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 6,466.50 = 6,466.50 : x
  2. Step 2: Convert to fraction form
    5,643/6,466.50 = 6,466.50/x
  3. Step 3: Cross multiply
    5,643x = 6,466.50 × 6,466.50
  4. Step 4: Simplify right side
    5,643x = 41,815,622.25
  5. Step 5: Solve for x
    x = 41,815,622.25/5,643
  6. Step 6: Final answer
    x = 7,410.18

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.