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Finding the Third Proportional to 34,661.25 and 51,482.25

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Solution

The third proportional to 34,661.25 and 51,482.25 is: 76,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661.25 : 51,482.25 = 51,482.25 : x
  2. Step 2: Convert to fraction form
    34,661.25/51,482.25 = 51,482.25/x
  3. Step 3: Cross multiply
    34,661.25x = 51,482.25 × 51,482.25
  4. Step 4: Simplify right side
    34,661.25x = 2,650,422,065.06
  5. Step 5: Solve for x
    x = 2,650,422,065.06/34,661.25
  6. Step 6: Final answer
    x = 76,466.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.