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Finding the Third Proportional to 14,966.25 and 22,319.63

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Solution

The third proportional to 14,966.25 and 22,319.63 is: 33,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.25 : 22,319.63 = 22,319.63 : x
  2. Step 2: Convert to fraction form
    14,966.25/22,319.63 = 22,319.63/x
  3. Step 3: Cross multiply
    14,966.25x = 22,319.63 × 22,319.63
  4. Step 4: Simplify right side
    14,966.25x = 498,165,660.14
  5. Step 5: Solve for x
    x = 498,165,660.14/14,966.25
  6. Step 6: Final answer
    x = 33,285.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.