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Finding the Third Proportional to 14,052.23 and 21,035.95

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Solution

The third proportional to 14,052.23 and 21,035.95 is: 31,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.23 : 21,035.95 = 21,035.95 : x
  2. Step 2: Convert to fraction form
    14,052.23/21,035.95 = 21,035.95/x
  3. Step 3: Cross multiply
    14,052.23x = 21,035.95 × 21,035.95
  4. Step 4: Simplify right side
    14,052.23x = 442,511,323.88
  5. Step 5: Solve for x
    x = 442,511,323.88/14,052.23
  6. Step 6: Final answer
    x = 31,490.46

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Why These Related Problems?

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