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Finding the Third Proportional to 13,005.94 and 19,473.28

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Solution

The third proportional to 13,005.94 and 19,473.28 is: 29,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.94 : 19,473.28 = 19,473.28 : x
  2. Step 2: Convert to fraction form
    13,005.94/19,473.28 = 19,473.28/x
  3. Step 3: Cross multiply
    13,005.94x = 19,473.28 × 19,473.28
  4. Step 4: Simplify right side
    13,005.94x = 379,208,682.64
  5. Step 5: Solve for x
    x = 379,208,682.64/13,005.94
  6. Step 6: Final answer
    x = 29,156.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.