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Finding the Third Proportional to 21,022.69 and 31,622.63

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Solution

The third proportional to 21,022.69 and 31,622.63 is: 47,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.69 : 31,622.63 = 31,622.63 : x
  2. Step 2: Convert to fraction form
    21,022.69/31,622.63 = 31,622.63/x
  3. Step 3: Cross multiply
    21,022.69x = 31,622.63 × 31,622.63
  4. Step 4: Simplify right side
    21,022.69x = 999,990,411.89
  5. Step 5: Solve for x
    x = 999,990,411.89/21,022.69
  6. Step 6: Final answer
    x = 47,567.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.