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Finding the Third Proportional to 8,697.38 and 20,064.38

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Solution

The third proportional to 8,697.38 and 20,064.38 is: 46,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.38 : 20,064.38 = 20,064.38 : x
  2. Step 2: Convert to fraction form
    8,697.38/20,064.38 = 20,064.38/x
  3. Step 3: Cross multiply
    8,697.38x = 20,064.38 × 20,064.38
  4. Step 4: Simplify right side
    8,697.38x = 402,579,144.14
  5. Step 5: Solve for x
    x = 402,579,144.14/8,697.38
  6. Step 6: Final answer
    x = 46,287.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.