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Finding the Third Proportional to 22,113 and 35,168.63

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Solution

The third proportional to 22,113 and 35,168.63 is: 55,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113 : 35,168.63 = 35,168.63 : x
  2. Step 2: Convert to fraction form
    22,113/35,168.63 = 35,168.63/x
  3. Step 3: Cross multiply
    22,113x = 35,168.63 × 35,168.63
  4. Step 4: Simplify right side
    22,113x = 1,236,832,184.39
  5. Step 5: Solve for x
    x = 1,236,832,184.39/22,113
  6. Step 6: Final answer
    x = 55,932.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.