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Finding the Third Proportional to 5,378.91 and 7,262.16

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Solution

The third proportional to 5,378.91 and 7,262.16 is: 9,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.91 : 7,262.16 = 7,262.16 : x
  2. Step 2: Convert to fraction form
    5,378.91/7,262.16 = 7,262.16/x
  3. Step 3: Cross multiply
    5,378.91x = 7,262.16 × 7,262.16
  4. Step 4: Simplify right side
    5,378.91x = 52,738,913.40
  5. Step 5: Solve for x
    x = 52,738,913.40/5,378.91
  6. Step 6: Final answer
    x = 9,804.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.