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Finding the Third Proportional to 20,882 and 45,048.50

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Solution

The third proportional to 20,882 and 45,048.50 is: 97,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882 : 45,048.50 = 45,048.50 : x
  2. Step 2: Convert to fraction form
    20,882/45,048.50 = 45,048.50/x
  3. Step 3: Cross multiply
    20,882x = 45,048.50 × 45,048.50
  4. Step 4: Simplify right side
    20,882x = 2,029,367,352.25
  5. Step 5: Solve for x
    x = 2,029,367,352.25/20,882
  6. Step 6: Final answer
    x = 97,182.61

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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.