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Finding the Third Proportional to 16,822.69 and 23,325.47

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Solution

The third proportional to 16,822.69 and 23,325.47 is: 32,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.69 : 23,325.47 = 23,325.47 : x
  2. Step 2: Convert to fraction form
    16,822.69/23,325.47 = 23,325.47/x
  3. Step 3: Cross multiply
    16,822.69x = 23,325.47 × 23,325.47
  4. Step 4: Simplify right side
    16,822.69x = 544,077,492.41
  5. Step 5: Solve for x
    x = 544,077,492.41/16,822.69
  6. Step 6: Final answer
    x = 32,341.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.