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Finding the Third Proportional to 9,866.25 and 14,901.75

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Solution

The third proportional to 9,866.25 and 14,901.75 is: 22,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.25 : 14,901.75 = 14,901.75 : x
  2. Step 2: Convert to fraction form
    9,866.25/14,901.75 = 14,901.75/x
  3. Step 3: Cross multiply
    9,866.25x = 14,901.75 × 14,901.75
  4. Step 4: Simplify right side
    9,866.25x = 222,062,153.06
  5. Step 5: Solve for x
    x = 222,062,153.06/9,866.25
  6. Step 6: Final answer
    x = 22,507.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.