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Finding the Third Proportional to 13,504.69 and 29,430.38

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Solution

The third proportional to 13,504.69 and 29,430.38 is: 64,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.69 : 29,430.38 = 29,430.38 : x
  2. Step 2: Convert to fraction form
    13,504.69/29,430.38 = 29,430.38/x
  3. Step 3: Cross multiply
    13,504.69x = 29,430.38 × 29,430.38
  4. Step 4: Simplify right side
    13,504.69x = 866,146,972.64
  5. Step 5: Solve for x
    x = 866,146,972.64/13,504.69
  6. Step 6: Final answer
    x = 64,136.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.