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Finding the Third Proportional to 20,313 and 32,437.13

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Solution

The third proportional to 20,313 and 32,437.13 is: 51,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313 : 32,437.13 = 32,437.13 : x
  2. Step 2: Convert to fraction form
    20,313/32,437.13 = 32,437.13/x
  3. Step 3: Cross multiply
    20,313x = 32,437.13 × 32,437.13
  4. Step 4: Simplify right side
    20,313x = 1,052,167,078.27
  5. Step 5: Solve for x
    x = 1,052,167,078.27/20,313
  6. Step 6: Final answer
    x = 51,797.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.