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Finding the Third Proportional to 1,605.60 and 2,564.31

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Solution

The third proportional to 1,605.60 and 2,564.31 is: 4,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.60 : 2,564.31 = 2,564.31 : x
  2. Step 2: Convert to fraction form
    1,605.60/2,564.31 = 2,564.31/x
  3. Step 3: Cross multiply
    1,605.60x = 2,564.31 × 2,564.31
  4. Step 4: Simplify right side
    1,605.60x = 6,575,708.61
  5. Step 5: Solve for x
    x = 6,575,708.61/1,605.60
  6. Step 6: Final answer
    x = 4,095.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.