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Finding the Third Proportional to 10,353.94 and 22,347.28

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Solution

The third proportional to 10,353.94 and 22,347.28 is: 48,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.94 : 22,347.28 = 22,347.28 : x
  2. Step 2: Convert to fraction form
    10,353.94/22,347.28 = 22,347.28/x
  3. Step 3: Cross multiply
    10,353.94x = 22,347.28 × 22,347.28
  4. Step 4: Simplify right side
    10,353.94x = 499,400,979.27
  5. Step 5: Solve for x
    x = 499,400,979.27/10,353.94
  6. Step 6: Final answer
    x = 48,232.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.