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Finding the Third Proportional to 19,823.44 and 28,990.88

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Solution

The third proportional to 19,823.44 and 28,990.88 is: 42,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.44 : 28,990.88 = 28,990.88 : x
  2. Step 2: Convert to fraction form
    19,823.44/28,990.88 = 28,990.88/x
  3. Step 3: Cross multiply
    19,823.44x = 28,990.88 × 28,990.88
  4. Step 4: Simplify right side
    19,823.44x = 840,470,833.27
  5. Step 5: Solve for x
    x = 840,470,833.27/19,823.44
  6. Step 6: Final answer
    x = 42,397.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.