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Finding the Third Proportional to 7,427.81 and 14,977.13

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Solution

The third proportional to 7,427.81 and 14,977.13 is: 30,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.81 : 14,977.13 = 14,977.13 : x
  2. Step 2: Convert to fraction form
    7,427.81/14,977.13 = 14,977.13/x
  3. Step 3: Cross multiply
    7,427.81x = 14,977.13 × 14,977.13
  4. Step 4: Simplify right side
    7,427.81x = 224,314,273.27
  5. Step 5: Solve for x
    x = 224,314,273.27/7,427.81
  6. Step 6: Final answer
    x = 30,199.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.