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Finding the Third Proportional to 9,484.88 and 20,784.38

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Solution

The third proportional to 9,484.88 and 20,784.38 is: 45,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.88 : 20,784.38 = 20,784.38 : x
  2. Step 2: Convert to fraction form
    9,484.88/20,784.38 = 20,784.38/x
  3. Step 3: Cross multiply
    9,484.88x = 20,784.38 × 20,784.38
  4. Step 4: Simplify right side
    9,484.88x = 431,990,244.14
  5. Step 5: Solve for x
    x = 431,990,244.14/9,484.88
  6. Step 6: Final answer
    x = 45,545.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.