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Finding the Third Proportional to 22,163.63 and 32,420.25

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Solution

The third proportional to 22,163.63 and 32,420.25 is: 47,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.63 : 32,420.25 = 32,420.25 : x
  2. Step 2: Convert to fraction form
    22,163.63/32,420.25 = 32,420.25/x
  3. Step 3: Cross multiply
    22,163.63x = 32,420.25 × 32,420.25
  4. Step 4: Simplify right side
    22,163.63x = 1,051,072,610.06
  5. Step 5: Solve for x
    x = 1,051,072,610.06/22,163.63
  6. Step 6: Final answer
    x = 47,423.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.