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Finding the Third Proportional to 45,216 and 66,197.25

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Solution

The third proportional to 45,216 and 66,197.25 is: 96,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216 : 66,197.25 = 66,197.25 : x
  2. Step 2: Convert to fraction form
    45,216/66,197.25 = 66,197.25/x
  3. Step 3: Cross multiply
    45,216x = 66,197.25 × 66,197.25
  4. Step 4: Simplify right side
    45,216x = 4,382,075,907.56
  5. Step 5: Solve for x
    x = 4,382,075,907.56/45,216
  6. Step 6: Final answer
    x = 96,914.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.