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Finding the Third Proportional to 4,046 and 5,466.50

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Solution

The third proportional to 4,046 and 5,466.50 is: 7,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046 : 5,466.50 = 5,466.50 : x
  2. Step 2: Convert to fraction form
    4,046/5,466.50 = 5,466.50/x
  3. Step 3: Cross multiply
    4,046x = 5,466.50 × 5,466.50
  4. Step 4: Simplify right side
    4,046x = 29,882,622.25
  5. Step 5: Solve for x
    x = 29,882,622.25/4,046
  6. Step 6: Final answer
    x = 7,385.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.