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Finding the Third Proportional to 19,044.50 and 28,972

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Solution

The third proportional to 19,044.50 and 28,972 is: 44,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,044.50 : 28,972 = 28,972 : x
  2. Step 2: Convert to fraction form
    19,044.50/28,972 = 28,972/x
  3. Step 3: Cross multiply
    19,044.50x = 28,972 × 28,972
  4. Step 4: Simplify right side
    19,044.50x = 839,376,784
  5. Step 5: Solve for x
    x = 839,376,784/19,044.50
  6. Step 6: Final answer
    x = 44,074.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.