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Finding the Third Proportional to 10,653.75 and 14,901.75

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Solution

The third proportional to 10,653.75 and 14,901.75 is: 20,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.75 : 14,901.75 = 14,901.75 : x
  2. Step 2: Convert to fraction form
    10,653.75/14,901.75 = 14,901.75/x
  3. Step 3: Cross multiply
    10,653.75x = 14,901.75 × 14,901.75
  4. Step 4: Simplify right side
    10,653.75x = 222,062,153.06
  5. Step 5: Solve for x
    x = 222,062,153.06/10,653.75
  6. Step 6: Final answer
    x = 20,843.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.