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Finding the Third Proportional to 13,454.44 and 29,473.88

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Solution

The third proportional to 13,454.44 and 29,473.88 is: 64,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.44 : 29,473.88 = 29,473.88 : x
  2. Step 2: Convert to fraction form
    13,454.44/29,473.88 = 29,473.88/x
  3. Step 3: Cross multiply
    13,454.44x = 29,473.88 × 29,473.88
  4. Step 4: Simplify right side
    13,454.44x = 868,709,307.52
  5. Step 5: Solve for x
    x = 868,709,307.52/13,454.44
  6. Step 6: Final answer
    x = 64,566.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.