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Finding the Third Proportional to 25,765 and 40,952

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Solution

The third proportional to 25,765 and 40,952 is: 65,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765 : 40,952 = 40,952 : x
  2. Step 2: Convert to fraction form
    25,765/40,952 = 40,952/x
  3. Step 3: Cross multiply
    25,765x = 40,952 × 40,952
  4. Step 4: Simplify right side
    25,765x = 1,677,066,304
  5. Step 5: Solve for x
    x = 1,677,066,304/25,765
  6. Step 6: Final answer
    x = 65,090.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.