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Finding the Third Proportional to 13,358.25 and 29,396.25

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Solution

The third proportional to 13,358.25 and 29,396.25 is: 64,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.25 : 29,396.25 = 29,396.25 : x
  2. Step 2: Convert to fraction form
    13,358.25/29,396.25 = 29,396.25/x
  3. Step 3: Cross multiply
    13,358.25x = 29,396.25 × 29,396.25
  4. Step 4: Simplify right side
    13,358.25x = 864,139,514.06
  5. Step 5: Solve for x
    x = 864,139,514.06/13,358.25
  6. Step 6: Final answer
    x = 64,689.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.