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Finding the Third Proportional to 16,101.19 and 24,630.56

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Solution

The third proportional to 16,101.19 and 24,630.56 is: 37,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.19 : 24,630.56 = 24,630.56 : x
  2. Step 2: Convert to fraction form
    16,101.19/24,630.56 = 24,630.56/x
  3. Step 3: Cross multiply
    16,101.19x = 24,630.56 × 24,630.56
  4. Step 4: Simplify right side
    16,101.19x = 606,664,609.07
  5. Step 5: Solve for x
    x = 606,664,609.07/16,101.19
  6. Step 6: Final answer
    x = 37,678.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.