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Finding the Third Proportional to 31,854 and 66,806.25

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Solution

The third proportional to 31,854 and 66,806.25 is: 140,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 66,806.25 = 66,806.25 : x
  2. Step 2: Convert to fraction form
    31,854/66,806.25 = 66,806.25/x
  3. Step 3: Cross multiply
    31,854x = 66,806.25 × 66,806.25
  4. Step 4: Simplify right side
    31,854x = 4,463,075,039.06
  5. Step 5: Solve for x
    x = 4,463,075,039.06/31,854
  6. Step 6: Final answer
    x = 140,110.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.