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Finding the Third Proportional to 10,033.88 and 14,905.88

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Solution

The third proportional to 10,033.88 and 14,905.88 is: 22,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.88 : 14,905.88 = 14,905.88 : x
  2. Step 2: Convert to fraction form
    10,033.88/14,905.88 = 14,905.88/x
  3. Step 3: Cross multiply
    10,033.88x = 14,905.88 × 14,905.88
  4. Step 4: Simplify right side
    10,033.88x = 222,185,109.52
  5. Step 5: Solve for x
    x = 222,185,109.52/10,033.88
  6. Step 6: Final answer
    x = 22,143.50

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Why These Related Problems?

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