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Finding the Third Proportional to 25,764 and 39,810

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Solution

The third proportional to 25,764 and 39,810 is: 61,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764 : 39,810 = 39,810 : x
  2. Step 2: Convert to fraction form
    25,764/39,810 = 39,810/x
  3. Step 3: Cross multiply
    25,764x = 39,810 × 39,810
  4. Step 4: Simplify right side
    25,764x = 1,584,836,100
  5. Step 5: Solve for x
    x = 1,584,836,100/25,764
  6. Step 6: Final answer
    x = 61,513.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.