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Finding the Third Proportional to 2,605.61 and 4,284.30

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Solution

The third proportional to 2,605.61 and 4,284.30 is: 7,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.61 : 4,284.30 = 4,284.30 : x
  2. Step 2: Convert to fraction form
    2,605.61/4,284.30 = 4,284.30/x
  3. Step 3: Cross multiply
    2,605.61x = 4,284.30 × 4,284.30
  4. Step 4: Simplify right side
    2,605.61x = 18,355,216.45
  5. Step 5: Solve for x
    x = 18,355,216.45/2,605.61
  6. Step 6: Final answer
    x = 7,044.51

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.