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Finding the Third Proportional to 2,210.20 and 4,599.91

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Solution

The third proportional to 2,210.20 and 4,599.91 is: 9,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.20 : 4,599.91 = 4,599.91 : x
  2. Step 2: Convert to fraction form
    2,210.20/4,599.91 = 4,599.91/x
  3. Step 3: Cross multiply
    2,210.20x = 4,599.91 × 4,599.91
  4. Step 4: Simplify right side
    2,210.20x = 21,159,209.38
  5. Step 5: Solve for x
    x = 21,159,209.38/2,210.20
  6. Step 6: Final answer
    x = 9,573.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.