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Finding the Third Proportional to 4,761.70 and 10,446.47

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Solution

The third proportional to 4,761.70 and 10,446.47 is: 22,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.70 : 10,446.47 = 10,446.47 : x
  2. Step 2: Convert to fraction form
    4,761.70/10,446.47 = 10,446.47/x
  3. Step 3: Cross multiply
    4,761.70x = 10,446.47 × 10,446.47
  4. Step 4: Simplify right side
    4,761.70x = 109,128,709.34
  5. Step 5: Solve for x
    x = 109,128,709.34/4,761.70
  6. Step 6: Final answer
    x = 22,918.00

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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.