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Finding the Third Proportional to 3,973.50 and 8,724.94

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Solution

The third proportional to 3,973.50 and 8,724.94 is: 19,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.50 : 8,724.94 = 8,724.94 : x
  2. Step 2: Convert to fraction form
    3,973.50/8,724.94 = 8,724.94/x
  3. Step 3: Cross multiply
    3,973.50x = 8,724.94 × 8,724.94
  4. Step 4: Simplify right side
    3,973.50x = 76,124,534.38
  5. Step 5: Solve for x
    x = 76,124,534.38/3,973.50
  6. Step 6: Final answer
    x = 19,158.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.