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Finding the Third Proportional to 7,130.53 and 14,473.69

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Solution

The third proportional to 7,130.53 and 14,473.69 is: 29,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.53 : 14,473.69 = 14,473.69 : x
  2. Step 2: Convert to fraction form
    7,130.53/14,473.69 = 14,473.69/x
  3. Step 3: Cross multiply
    7,130.53x = 14,473.69 × 14,473.69
  4. Step 4: Simplify right side
    7,130.53x = 209,487,629.85
  5. Step 5: Solve for x
    x = 209,487,629.85/7,130.53
  6. Step 6: Final answer
    x = 29,378.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.