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Finding the Third Proportional to 20,276.16 and 43,354.41

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Solution

The third proportional to 20,276.16 and 43,354.41 is: 92,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276.16 : 43,354.41 = 43,354.41 : x
  2. Step 2: Convert to fraction form
    20,276.16/43,354.41 = 43,354.41/x
  3. Step 3: Cross multiply
    20,276.16x = 43,354.41 × 43,354.41
  4. Step 4: Simplify right side
    20,276.16x = 1,879,604,541.29
  5. Step 5: Solve for x
    x = 1,879,604,541.29/20,276.16
  6. Step 6: Final answer
    x = 92,700.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.