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Finding the Third Proportional to 1,648.79 and 3,545.33

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Solution

The third proportional to 1,648.79 and 3,545.33 is: 7,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.79 : 3,545.33 = 3,545.33 : x
  2. Step 2: Convert to fraction form
    1,648.79/3,545.33 = 3,545.33/x
  3. Step 3: Cross multiply
    1,648.79x = 3,545.33 × 3,545.33
  4. Step 4: Simplify right side
    1,648.79x = 12,569,379.21
  5. Step 5: Solve for x
    x = 12,569,379.21/1,648.79
  6. Step 6: Final answer
    x = 7,623.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.