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Finding the Third Proportional to 12,823.25 and 20,288

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Solution

The third proportional to 12,823.25 and 20,288 is: 32,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.25 : 20,288 = 20,288 : x
  2. Step 2: Convert to fraction form
    12,823.25/20,288 = 20,288/x
  3. Step 3: Cross multiply
    12,823.25x = 20,288 × 20,288
  4. Step 4: Simplify right side
    12,823.25x = 411,602,944
  5. Step 5: Solve for x
    x = 411,602,944/12,823.25
  6. Step 6: Final answer
    x = 32,098.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.