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Finding the Third Proportional to 25,066 and 35,043

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Solution

The third proportional to 25,066 and 35,043 is: 48,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,066 : 35,043 = 35,043 : x
  2. Step 2: Convert to fraction form
    25,066/35,043 = 35,043/x
  3. Step 3: Cross multiply
    25,066x = 35,043 × 35,043
  4. Step 4: Simplify right side
    25,066x = 1,228,011,849
  5. Step 5: Solve for x
    x = 1,228,011,849/25,066
  6. Step 6: Final answer
    x = 48,991.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.