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Finding the Third Proportional to 4,937.84 and 10,785.02

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Solution

The third proportional to 4,937.84 and 10,785.02 is: 23,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.84 : 10,785.02 = 10,785.02 : x
  2. Step 2: Convert to fraction form
    4,937.84/10,785.02 = 10,785.02/x
  3. Step 3: Cross multiply
    4,937.84x = 10,785.02 × 10,785.02
  4. Step 4: Simplify right side
    4,937.84x = 116,316,730.55
  5. Step 5: Solve for x
    x = 116,316,730.55/4,937.84
  6. Step 6: Final answer
    x = 23,556.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.