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Finding the Third Proportional to 7,420.36 and 10,932.47

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Solution

The third proportional to 7,420.36 and 10,932.47 is: 16,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.36 : 10,932.47 = 10,932.47 : x
  2. Step 2: Convert to fraction form
    7,420.36/10,932.47 = 10,932.47/x
  3. Step 3: Cross multiply
    7,420.36x = 10,932.47 × 10,932.47
  4. Step 4: Simplify right side
    7,420.36x = 119,518,872.97
  5. Step 5: Solve for x
    x = 119,518,872.97/7,420.36
  6. Step 6: Final answer
    x = 16,106.88

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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.