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Finding the Third Proportional to 7,814.16 and 18,434.72

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Solution

The third proportional to 7,814.16 and 18,434.72 is: 43,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.16 : 18,434.72 = 18,434.72 : x
  2. Step 2: Convert to fraction form
    7,814.16/18,434.72 = 18,434.72/x
  3. Step 3: Cross multiply
    7,814.16x = 18,434.72 × 18,434.72
  4. Step 4: Simplify right side
    7,814.16x = 339,838,855.39
  5. Step 5: Solve for x
    x = 339,838,855.39/7,814.16
  6. Step 6: Final answer
    x = 43,490.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.