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Finding the Third Proportional to 45,075 and 65,288.25

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Solution

The third proportional to 45,075 and 65,288.25 is: 94,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,075 : 65,288.25 = 65,288.25 : x
  2. Step 2: Convert to fraction form
    45,075/65,288.25 = 65,288.25/x
  3. Step 3: Cross multiply
    45,075x = 65,288.25 × 65,288.25
  4. Step 4: Simplify right side
    45,075x = 4,262,555,588.06
  5. Step 5: Solve for x
    x = 4,262,555,588.06/45,075
  6. Step 6: Final answer
    x = 94,565.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.