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Finding the Third Proportional to 9,969.19 and 21,588.75

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Solution

The third proportional to 9,969.19 and 21,588.75 is: 46,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.19 : 21,588.75 = 21,588.75 : x
  2. Step 2: Convert to fraction form
    9,969.19/21,588.75 = 21,588.75/x
  3. Step 3: Cross multiply
    9,969.19x = 21,588.75 × 21,588.75
  4. Step 4: Simplify right side
    9,969.19x = 466,074,126.56
  5. Step 5: Solve for x
    x = 466,074,126.56/9,969.19
  6. Step 6: Final answer
    x = 46,751.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.