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Finding the Third Proportional to 19,565.30 and 22,025.67

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Solution

The third proportional to 19,565.30 and 22,025.67 is: 24,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565.30 : 22,025.67 = 22,025.67 : x
  2. Step 2: Convert to fraction form
    19,565.30/22,025.67 = 22,025.67/x
  3. Step 3: Cross multiply
    19,565.30x = 22,025.67 × 22,025.67
  4. Step 4: Simplify right side
    19,565.30x = 485,130,221.55
  5. Step 5: Solve for x
    x = 485,130,221.55/19,565.30
  6. Step 6: Final answer
    x = 24,795.44

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.