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Finding the Third Proportional to 10,696.75 and 22,075.25

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Solution

The third proportional to 10,696.75 and 22,075.25 is: 45,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.75 : 22,075.25 = 22,075.25 : x
  2. Step 2: Convert to fraction form
    10,696.75/22,075.25 = 22,075.25/x
  3. Step 3: Cross multiply
    10,696.75x = 22,075.25 × 22,075.25
  4. Step 4: Simplify right side
    10,696.75x = 487,316,662.56
  5. Step 5: Solve for x
    x = 487,316,662.56/10,696.75
  6. Step 6: Final answer
    x = 45,557.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.