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Finding the Third Proportional to 10,403.63 and 22,753.63

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Solution

The third proportional to 10,403.63 and 22,753.63 is: 49,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.63 : 22,753.63 = 22,753.63 : x
  2. Step 2: Convert to fraction form
    10,403.63/22,753.63 = 22,753.63/x
  3. Step 3: Cross multiply
    10,403.63x = 22,753.63 × 22,753.63
  4. Step 4: Simplify right side
    10,403.63x = 517,727,450.64
  5. Step 5: Solve for x
    x = 517,727,450.64/10,403.63
  6. Step 6: Final answer
    x = 49,764.14

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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.