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Finding the Third Proportional to 10,403.44 and 22,750.88

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Solution

The third proportional to 10,403.44 and 22,750.88 is: 49,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.44 : 22,750.88 = 22,750.88 : x
  2. Step 2: Convert to fraction form
    10,403.44/22,750.88 = 22,750.88/x
  3. Step 3: Cross multiply
    10,403.44x = 22,750.88 × 22,750.88
  4. Step 4: Simplify right side
    10,403.44x = 517,602,313.27
  5. Step 5: Solve for x
    x = 517,602,313.27/10,403.44
  6. Step 6: Final answer
    x = 49,753.01

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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.