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Finding the Third Proportional to 10,538.44 and 22,051.13

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Solution

The third proportional to 10,538.44 and 22,051.13 is: 46,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.44 : 22,051.13 = 22,051.13 : x
  2. Step 2: Convert to fraction form
    10,538.44/22,051.13 = 22,051.13/x
  3. Step 3: Cross multiply
    10,538.44x = 22,051.13 × 22,051.13
  4. Step 4: Simplify right side
    10,538.44x = 486,252,113.77
  5. Step 5: Solve for x
    x = 486,252,113.77/10,538.44
  6. Step 6: Final answer
    x = 46,140.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.