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Finding the Third Proportional to 16,102.88 and 24,330.94

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Solution

The third proportional to 16,102.88 and 24,330.94 is: 36,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.88 : 24,330.94 = 24,330.94 : x
  2. Step 2: Convert to fraction form
    16,102.88/24,330.94 = 24,330.94/x
  3. Step 3: Cross multiply
    16,102.88x = 24,330.94 × 24,330.94
  4. Step 4: Simplify right side
    16,102.88x = 591,994,519.63
  5. Step 5: Solve for x
    x = 591,994,519.63/16,102.88
  6. Step 6: Final answer
    x = 36,763.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.