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Finding the Third Proportional to 7,284.94 and 13,420.69

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Solution

The third proportional to 7,284.94 and 13,420.69 is: 24,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.94 : 13,420.69 = 13,420.69 : x
  2. Step 2: Convert to fraction form
    7,284.94/13,420.69 = 13,420.69/x
  3. Step 3: Cross multiply
    7,284.94x = 13,420.69 × 13,420.69
  4. Step 4: Simplify right side
    7,284.94x = 180,114,852.97
  5. Step 5: Solve for x
    x = 180,114,852.97/7,284.94
  6. Step 6: Final answer
    x = 24,724.28

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.