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Finding the Third Proportional to 4,328.86 and 9,341.16

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Solution

The third proportional to 4,328.86 and 9,341.16 is: 20,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.86 : 9,341.16 = 9,341.16 : x
  2. Step 2: Convert to fraction form
    4,328.86/9,341.16 = 9,341.16/x
  3. Step 3: Cross multiply
    4,328.86x = 9,341.16 × 9,341.16
  4. Step 4: Simplify right side
    4,328.86x = 87,257,200.09
  5. Step 5: Solve for x
    x = 87,257,200.09/4,328.86
  6. Step 6: Final answer
    x = 20,157.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.