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Finding the Third Proportional to 47,585.81 and 112,733.44

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Solution

The third proportional to 47,585.81 and 112,733.44 is: 267,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,585.81 : 112,733.44 = 112,733.44 : x
  2. Step 2: Convert to fraction form
    47,585.81/112,733.44 = 112,733.44/x
  3. Step 3: Cross multiply
    47,585.81x = 112,733.44 × 112,733.44
  4. Step 4: Simplify right side
    47,585.81x = 12,708,827,930.57
  5. Step 5: Solve for x
    x = 12,708,827,930.57/47,585.81
  6. Step 6: Final answer
    x = 267,071.79

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.