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Finding the Third Proportional to 16,211.81 and 23,734.69

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Solution

The third proportional to 16,211.81 and 23,734.69 is: 34,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.81 : 23,734.69 = 23,734.69 : x
  2. Step 2: Convert to fraction form
    16,211.81/23,734.69 = 23,734.69/x
  3. Step 3: Cross multiply
    16,211.81x = 23,734.69 × 23,734.69
  4. Step 4: Simplify right side
    16,211.81x = 563,335,390.72
  5. Step 5: Solve for x
    x = 563,335,390.72/16,211.81
  6. Step 6: Final answer
    x = 34,748.45

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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.