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Finding the Third Proportional to 22,712.91 and 46,348.45

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Solution

The third proportional to 22,712.91 and 46,348.45 is: 94,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.91 : 46,348.45 = 46,348.45 : x
  2. Step 2: Convert to fraction form
    22,712.91/46,348.45 = 46,348.45/x
  3. Step 3: Cross multiply
    22,712.91x = 46,348.45 × 46,348.45
  4. Step 4: Simplify right side
    22,712.91x = 2,148,179,107.08
  5. Step 5: Solve for x
    x = 2,148,179,107.08/22,712.91
  6. Step 6: Final answer
    x = 94,579.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.