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Finding the Third Proportional to 30,000.66 and 65,651.06

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Solution

The third proportional to 30,000.66 and 65,651.06 is: 143,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.66 : 65,651.06 = 65,651.06 : x
  2. Step 2: Convert to fraction form
    30,000.66/65,651.06 = 65,651.06/x
  3. Step 3: Cross multiply
    30,000.66x = 65,651.06 × 65,651.06
  4. Step 4: Simplify right side
    30,000.66x = 4,310,062,007.38
  5. Step 5: Solve for x
    x = 4,310,062,007.38/30,000.66
  6. Step 6: Final answer
    x = 143,665.59

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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.