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Finding the Third Proportional to 7,022.53 and 14,909.91

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Solution

The third proportional to 7,022.53 and 14,909.91 is: 31,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.53 : 14,909.91 = 14,909.91 : x
  2. Step 2: Convert to fraction form
    7,022.53/14,909.91 = 14,909.91/x
  3. Step 3: Cross multiply
    7,022.53x = 14,909.91 × 14,909.91
  4. Step 4: Simplify right side
    7,022.53x = 222,305,304.38
  5. Step 5: Solve for x
    x = 222,305,304.38/7,022.53
  6. Step 6: Final answer
    x = 31,656.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.