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Finding the Third Proportional to 7,441.88 and 16,024.08

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Solution

The third proportional to 7,441.88 and 16,024.08 is: 34,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.88 : 16,024.08 = 16,024.08 : x
  2. Step 2: Convert to fraction form
    7,441.88/16,024.08 = 16,024.08/x
  3. Step 3: Cross multiply
    7,441.88x = 16,024.08 × 16,024.08
  4. Step 4: Simplify right side
    7,441.88x = 256,771,079.76
  5. Step 5: Solve for x
    x = 256,771,079.76/7,441.88
  6. Step 6: Final answer
    x = 34,503.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.