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Finding the Third Proportional to 5,273.63 and 7,895.81

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Solution

The third proportional to 5,273.63 and 7,895.81 is: 11,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.63 : 7,895.81 = 7,895.81 : x
  2. Step 2: Convert to fraction form
    5,273.63/7,895.81 = 7,895.81/x
  3. Step 3: Cross multiply
    5,273.63x = 7,895.81 × 7,895.81
  4. Step 4: Simplify right side
    5,273.63x = 62,343,855.04
  5. Step 5: Solve for x
    x = 62,343,855.04/5,273.63
  6. Step 6: Final answer
    x = 11,821.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.