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Finding the Third Proportional to 1,605.66 and 3,526.88

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Solution

The third proportional to 1,605.66 and 3,526.88 is: 7,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.66 : 3,526.88 = 3,526.88 : x
  2. Step 2: Convert to fraction form
    1,605.66/3,526.88 = 3,526.88/x
  3. Step 3: Cross multiply
    1,605.66x = 3,526.88 × 3,526.88
  4. Step 4: Simplify right side
    1,605.66x = 12,438,847.27
  5. Step 5: Solve for x
    x = 12,438,847.27/1,605.66
  6. Step 6: Final answer
    x = 7,746.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.