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Finding the Third Proportional to 20,814.47 and 44,953.73

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Solution

The third proportional to 20,814.47 and 44,953.73 is: 97,088.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.47 : 44,953.73 = 44,953.73 : x
  2. Step 2: Convert to fraction form
    20,814.47/44,953.73 = 44,953.73/x
  3. Step 3: Cross multiply
    20,814.47x = 44,953.73 × 44,953.73
  4. Step 4: Simplify right side
    20,814.47x = 2,020,838,234.26
  5. Step 5: Solve for x
    x = 2,020,838,234.26/20,814.47
  6. Step 6: Final answer
    x = 97,088.15

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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.