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Finding the Third Proportional to 22,917 and 32,695.50

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Solution

The third proportional to 22,917 and 32,695.50 is: 46,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917 : 32,695.50 = 32,695.50 : x
  2. Step 2: Convert to fraction form
    22,917/32,695.50 = 32,695.50/x
  3. Step 3: Cross multiply
    22,917x = 32,695.50 × 32,695.50
  4. Step 4: Simplify right side
    22,917x = 1,068,995,720.25
  5. Step 5: Solve for x
    x = 1,068,995,720.25/22,917
  6. Step 6: Final answer
    x = 46,646.41

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.