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Finding the Third Proportional to 4,894.17 and 10,728.07

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Solution

The third proportional to 4,894.17 and 10,728.07 is: 23,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.17 : 10,728.07 = 10,728.07 : x
  2. Step 2: Convert to fraction form
    4,894.17/10,728.07 = 10,728.07/x
  3. Step 3: Cross multiply
    4,894.17x = 10,728.07 × 10,728.07
  4. Step 4: Simplify right side
    4,894.17x = 115,091,492.63
  5. Step 5: Solve for x
    x = 115,091,492.63/4,894.17
  6. Step 6: Final answer
    x = 23,516.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.