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Finding the Third Proportional to 5,313.47 and 7,808.16

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Solution

The third proportional to 5,313.47 and 7,808.16 is: 11,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.47 : 7,808.16 = 7,808.16 : x
  2. Step 2: Convert to fraction form
    5,313.47/7,808.16 = 7,808.16/x
  3. Step 3: Cross multiply
    5,313.47x = 7,808.16 × 7,808.16
  4. Step 4: Simplify right side
    5,313.47x = 60,967,304.02
  5. Step 5: Solve for x
    x = 60,967,304.02/5,313.47
  6. Step 6: Final answer
    x = 11,474.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.