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Finding the Third Proportional to 10,245.16 and 14,406.65

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Solution

The third proportional to 10,245.16 and 14,406.65 is: 20,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.16 : 14,406.65 = 14,406.65 : x
  2. Step 2: Convert to fraction form
    10,245.16/14,406.65 = 14,406.65/x
  3. Step 3: Cross multiply
    10,245.16x = 14,406.65 × 14,406.65
  4. Step 4: Simplify right side
    10,245.16x = 207,551,533.27
  5. Step 5: Solve for x
    x = 207,551,533.27/10,245.16
  6. Step 6: Final answer
    x = 20,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.