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Finding the Third Proportional to 22,862.63 and 34,354.69

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Solution

The third proportional to 22,862.63 and 34,354.69 is: 51,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.63 : 34,354.69 = 34,354.69 : x
  2. Step 2: Convert to fraction form
    22,862.63/34,354.69 = 34,354.69/x
  3. Step 3: Cross multiply
    22,862.63x = 34,354.69 × 34,354.69
  4. Step 4: Simplify right side
    22,862.63x = 1,180,244,553.22
  5. Step 5: Solve for x
    x = 1,180,244,553.22/22,862.63
  6. Step 6: Final answer
    x = 51,623.32

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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.