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Finding the Third Proportional to 6,270 and 8,392.13

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Solution

The third proportional to 6,270 and 8,392.13 is: 11,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270 : 8,392.13 = 8,392.13 : x
  2. Step 2: Convert to fraction form
    6,270/8,392.13 = 8,392.13/x
  3. Step 3: Cross multiply
    6,270x = 8,392.13 × 8,392.13
  4. Step 4: Simplify right side
    6,270x = 70,427,762.02
  5. Step 5: Solve for x
    x = 70,427,762.02/6,270
  6. Step 6: Final answer
    x = 11,232.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.