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Finding the Third Proportional to 10,048.50 and 21,826.88

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Solution

The third proportional to 10,048.50 and 21,826.88 is: 47,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.50 : 21,826.88 = 21,826.88 : x
  2. Step 2: Convert to fraction form
    10,048.50/21,826.88 = 21,826.88/x
  3. Step 3: Cross multiply
    10,048.50x = 21,826.88 × 21,826.88
  4. Step 4: Simplify right side
    10,048.50x = 476,412,472.27
  5. Step 5: Solve for x
    x = 476,412,472.27/10,048.50
  6. Step 6: Final answer
    x = 47,411.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.