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Finding the Third Proportional to 4,219.17 and 6,166.55

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Solution

The third proportional to 4,219.17 and 6,166.55 is: 9,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.17 : 6,166.55 = 6,166.55 : x
  2. Step 2: Convert to fraction form
    4,219.17/6,166.55 = 6,166.55/x
  3. Step 3: Cross multiply
    4,219.17x = 6,166.55 × 6,166.55
  4. Step 4: Simplify right side
    4,219.17x = 38,026,300.36
  5. Step 5: Solve for x
    x = 38,026,300.36/4,219.17
  6. Step 6: Final answer
    x = 9,012.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.