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Finding the Third Proportional to 18,734.73 and 29,026.16

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Solution

The third proportional to 18,734.73 and 29,026.16 is: 44,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,734.73 : 29,026.16 = 29,026.16 : x
  2. Step 2: Convert to fraction form
    18,734.73/29,026.16 = 29,026.16/x
  3. Step 3: Cross multiply
    18,734.73x = 29,026.16 × 29,026.16
  4. Step 4: Simplify right side
    18,734.73x = 842,517,973.42
  5. Step 5: Solve for x
    x = 842,517,973.42/18,734.73
  6. Step 6: Final answer
    x = 44,970.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.