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Finding the Third Proportional to 25,766 and 39,813

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Solution

The third proportional to 25,766 and 39,813 is: 61,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,766 : 39,813 = 39,813 : x
  2. Step 2: Convert to fraction form
    25,766/39,813 = 39,813/x
  3. Step 3: Cross multiply
    25,766x = 39,813 × 39,813
  4. Step 4: Simplify right side
    25,766x = 1,585,074,969
  5. Step 5: Solve for x
    x = 1,585,074,969/25,766
  6. Step 6: Final answer
    x = 61,518.08

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Why These Related Problems?

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